{"id":65,"date":"2023-09-17T07:21:09","date_gmt":"2023-09-17T07:21:09","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b0%d0%bb-%d1%87%d0%b8%d1%81%d0%bb%d0%b0\/"},"modified":"2023-09-17T07:21:09","modified_gmt":"2023-09-17T07:21:09","slug":"%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b0%d0%bb-%d1%87%d0%b8%d1%81%d0%bb%d0%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b0%d0%bb-%d1%87%d0%b8%d1%81%d0%bb%d0%b0\/","title":{"rendered":"\u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0447\u0438\u0441\u043b\u0430"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0438 \u043a\u0430\u043a \u043e\u043d \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044b \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432. \u041e\u043d \u0442\u0430\u043a\u0436\u0435 \u0443\u0447\u0438\u0442, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u043e\u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-factorial-de-un-numero\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 <strong>\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430<\/strong> \u0440\u0430\u0432\u0435\u043d \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0432\u0441\u0435\u0445 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043e\u0442 1 \u0434\u043e \u044d\u0442\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442\u0441\u044f \u0432\u043e\u0441\u043a\u043b\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c \u0437\u043d\u0430\u043a\u043e\u043c (!) \u043f\u043e\u0441\u043b\u0435 \u0447\u0438\u0441\u043b\u0430. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/factorielle-dun-nombre.jpg\" alt=\"\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430\" class=\"wp-image-1870\" width=\"152\" height=\"152\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 <em>n<\/em> , \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u043c <em>n<\/em> , \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u043e <em>n<\/em> \u043d\u0430 \u0432\u0441\u0435 \u0446\u0435\u043b\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0435\u043c\u0443 \u043f\u0440\u0435\u0434\u0448\u0435\u0441\u0442\u0432\u0443\u044e\u0442 (\u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 \u0435\u0434\u0438\u043d\u0438\u0446\u044b): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49a90a973e9e420c44502cd9c8a870ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n! = 1 \\cdot 2 \\cdot 3 \\cdots (n-2) \\cdot (n-1) \\cdot n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-calcular-el-factorial-de-un-numero\"><\/span> \u041a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0420\u0430\u0437\u043e\u0431\u0440\u0430\u0432\u0448\u0438\u0441\u044c \u0441\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u0447\u0438\u0441\u043b\u0430, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043b\u044e\u0431\u043e\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b:<\/p>\n<ul>\n<li> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 4:<\/li>\n<\/ul>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0438, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044e \u0432\u0441\u0435\u0445 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b, \u043c\u0435\u043d\u044c\u0448\u0438\u0445 \u0438\u043b\u0438 \u0440\u0430\u0432\u043d\u044b\u0445 \u0435\u043c\u0443. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 4, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u0430 1, 2, 3 \u0438 4:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2d8186d4343b8a2ffc6567e323dab6d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4! = 1 \\cdot 2 \\cdot 3 \\cdot 4 =24\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"153\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 4 \u0434\u0430\u0435\u0442 24. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-factoriales-de-numeros\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432 \u0447\u0438\u0441\u0435\u043b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0437\u0430\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u0447\u0438\u0441\u043b\u0430, \u043c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u043f\u0440\u0438\u043c\u0435\u0440 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432 \u0440\u0430\u0437\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b:<\/p>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 3:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-325e737422d7201e476c4a60bfe966f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3! = 1 \\cdot 2 \\cdot 3 =6\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 5:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b9936934f623ae1f84b1d8d33b5a6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5! = 1 \\cdot 2 \\cdot 3 \\cdot 4 \\cdot 5=120\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"184\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 6:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb40997fdc483ae843ffed87eb17a70c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6! = 1 \\cdot 2 \\cdot 3 \\cdot 4 \\cdot 5 \\cdot 6=720\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"205\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 1:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78b2257245ff53ae4369f3b71629ae83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1! = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 1 \u0440\u0430\u0432\u0435\u043d 1, \u0442\u0430\u043a \u043a\u0430\u043a \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c 1.<\/p>\n<ul>\n<li> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 0:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-255b29d39824041f4d334887daa9d55d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0! = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0414\u0430, \u043b\u0430\u0434\u043d\u043e, \u043a\u0430\u043a \u043d\u0438 \u0441\u0442\u0440\u0430\u043d\u043d\u043e, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 0 \u0440\u0430\u0432\u0435\u043d \u043d\u0435 \u043d\u0443\u043b\u044e, \u0430 1. \u0412\u0430\u043c \u044d\u0442\u043e \u043c\u043e\u0436\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c\u0441\u044f \u043d\u0435\u043c\u043d\u043e\u0433\u043e \u0441\u0442\u0440\u0430\u043d\u043d\u044b\u043c, \u0432\u0435\u0434\u044c \u043f\u043e \u0438\u0434\u0435\u0435 \u043d\u0443\u0436\u043d\u043e \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c 0 \u043d\u0430 1. \u041e\u0434\u043d\u0430\u043a\u043e \u043f\u043e \u0441\u043e\u0433\u043b\u0430\u0448\u0435\u043d\u0438\u044e \u043f\u0440\u0438\u043d\u044f\u0442\u043e, \u0447\u0442\u043e 0! =1, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443  \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u043e \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u0430 \u043f\u0443\u0441\u0442\u043e  . \u041c\u044b \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0432\u0430\u043c \u044d\u0442\u0443 \u0441\u0441\u044b\u043b\u043a\u0443 \u043d\u0430 \u0441\u043b\u0443\u0447\u0430\u0439, \u0435\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0445\u043e\u0442\u0438\u0442\u0435 \u0443\u0437\u043d\u0430\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435, \u0445\u043e\u0442\u044f \u043d\u0435 \u043e\u0447\u0435\u043d\u044c \u0432\u0430\u0436\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u0437\u043d\u0430\u043b\u0438 \u043f\u0440\u0438\u0447\u0438\u043d\u0443, \u0432\u0430\u0436\u043d\u043e \u0442\u043e, \u0447\u0442\u043e \u0432\u044b \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e <strong>\u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 0 \u0440\u0430\u0432\u0435\u043d 1<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Lista-de-resultados-de-factoriales-de-numeros\"><\/span> \u0421\u043f\u0438\u0441\u043e\u043a \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432 \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432 \u0447\u0438\u0441\u0435\u043b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0438\u0436\u0435 \u043c\u044b \u0441\u0432\u0435\u043b\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044b \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0443\u043f\u043e\u0442\u0440\u0435\u0431\u043b\u044f\u0435\u043c\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0432 \u0442\u0430\u0431\u043b\u0438\u0446\u0443, \u0447\u0442\u043e\u0431\u044b \u0432\u0430\u043c \u043d\u0435 \u043f\u0440\u0438\u0448\u043b\u043e\u0441\u044c \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u0438\u0445 \u0432\u0440\u0443\u0447\u043d\u0443\u044e. <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> \u041d\u043e\u043c\u0435\u0440<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 24<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 120<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 720<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5040<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 40,320<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 9<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 362 880<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u0434\u0435\u0441\u044f\u0442\u044c<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3 628 800<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u043e\u0434\u0438\u043d\u043d\u0430\u0434\u0446\u0430\u0442\u044c<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 39 916 800<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 12<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 479 001 600<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 13<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6 227 020 800<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 14<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 87 178 291 200<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u043f\u044f\u0442\u043d\u0430\u0434\u0446\u0430\u0442\u044c<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1 307 674 368 000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 16<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 20 922 789 888 000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 17<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 355 687 428 096 000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 18<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6 402 373 705 728 000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 19<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 121 645 100 408 832 000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u0434\u0432\u0430\u0434\u0446\u0430\u0442\u044c<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2 432 902 008 176 640 000<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u043f\u044f\u0442\u044c\u0434\u0435\u0441\u044f\u0442<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3 041 409 320 \u00b7 <sup>10,64<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 100<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 9 332 621 544 \u00b7 <sup>10 157<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4 023 872 601 \u00b7 <sup>10,2567<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 10 000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2 846 259 681 \u00b7 <sup>10 35 659<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 100 000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2 824 229 408 \u00b7 10 <sup>45 6573<\/sup><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1 000 000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8 263 931 688 \u00b7 10 <sup>5 565 708<\/sup> <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorial-de-un-numero-con-la-calculadora\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432 \u0434\u0432\u0443\u0445 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0440\u0430\u0441\u0442\u0443\u0442 \u0432 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043f\u0440\u043e\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0443\u0437\u043d\u0430\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0431\u043e\u043b\u044c\u0448\u0438\u0445 \u0447\u0438\u0441\u0435\u043b \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u0441\u043b\u043e\u0436\u043d\u043e. \u0418\u0442\u0430\u043a, \u043c\u044b \u043f\u043e\u043a\u0430\u0436\u0435\u043c \u0432\u0430\u043c, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430.<\/p>\n<p> \u041d\u0430\u0443\u0447\u043d\u044b\u0435 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u044b \u0438\u043c\u0435\u044e\u0442 \u043a\u043b\u0430\u0432\u0438\u0448\u0443 \u0441 <em>\u0441\u0438\u043c\u0432\u043e\u043b\u043e\u043c x!<\/em> \u0438\u043b\u0438 <em>\u043d!<\/em> \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u0446\u0435\u043b\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430. \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0441\u0442\u043e\u0438\u0442 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043d\u0430 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0439:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c202f31b798e218ed65210a5eaff6293_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n! \\quad \\color{red} \\bm{\\longrightarrow} \\quad \\color{black} n\\rightarrow \\boxed{x!} \\rightarrow \\boxed{=}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"263\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> \u041e\u0431\u044b\u0447\u043d\u043e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u044b CASIO \u0438\u043c\u0435\u044e\u0442 <em><em>\u0444\u0430\u043a\u0442\u043e\u0440\u043d\u044b\u0439 \u043a\u043b\u044e\u0447 x!<\/em> \u0438\u043b\u0438 <em>\u043d!<\/em><\/em> \u043d\u0430\u0434 \u043a\u043d\u043e\u043f\u043a\u043e\u0439 <em>x <sup>-1<\/sup><\/em> .<\/p>\n<p> \u0412 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043c\u044b \u0440\u0435\u0448\u0438\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c, \u0443\u043c\u0435\u0435\u0442\u0435 \u043b\u0438 \u0432\u044b \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u0442\u044c. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043c\u044b \u0441\u0434\u0435\u043b\u0430\u0435\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 9:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-797b93b341570c99b6ae23521134b3e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"9! \\quad \\color{red} \\bm{\\longrightarrow} \\quad \\color{black} 9\\rightarrow \\boxed{x!} \\rightarrow \\boxed{=} \\rightarrow 362880\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"340\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 9, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432\u0432\u0435\u0441\u0442\u0438 \u0447\u0438\u0441\u043b\u043e 9, \u0430 \u0437\u0430\u0442\u0435\u043c \u043d\u0430\u0436\u0430\u0442\u044c \u043a\u043b\u0430\u0432\u0438\u0448\u0443<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e5326c9702600ee8b6727dc5e449b2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\boxed{x!}\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"27\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043d\u0430\u0436\u043c\u0438\u0442\u0435 \u043a\u043d\u043e\u043f\u043a\u0443 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u0430. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0434\u043e\u043b\u0436\u0435\u043d \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c \u043d\u0430\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 362 880. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-del-numero-factorial\"><\/span> \u041f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u0447\u0438\u0441\u043b\u0430 \u043c\u043e\u0436\u0435\u0442 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u044c\u0441\u044f \u043e\u0447\u0435\u043d\u044c \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u0438 \u0430\u0431\u0441\u0443\u0440\u0434\u043d\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0435\u0439, \u043d\u043e \u0432 \u043f\u0440\u043e\u0434\u0432\u0438\u043d\u0443\u0442\u043e\u0439 \u0430\u043b\u0433\u0435\u0431\u0440\u0435 \u043e\u043d\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043e\u0432\u043e\u043b\u044c\u043d\u043e \u0447\u0430\u0441\u0442\u043e. \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u043e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430.<\/p>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e, \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u2014 \u044d\u0442\u043e \u0432\u0430\u0436\u043d\u0435\u0439\u0448\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f  <strong><span style=\"text-decoration: underline;\">\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430<\/span><\/strong>  , \u0431\u043e\u043b\u0435\u0435 \u0447\u0435\u043c \u0447\u0430\u0441\u0442\u043d\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f. \u0415\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u0438\u0437 \u0447\u0435\u0433\u043e \u043e\u043d\u043e \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438 \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f, \u043c\u043e\u0436\u043d\u043e \u043f\u043e \u044d\u0442\u043e\u0439 \u0441\u0441\u044b\u043b\u043a\u0435, \u0433\u0434\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b, \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0438 \u043a\u0430\u043a\u043e\u0432\u044b \u0435\u0433\u043e \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d \u0438\u043c\u0435\u0435\u0442 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0439.<\/p>\n<p> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0442\u0430\u043a\u0436\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u0438\u043d\u043e\u043c\u0430 \u0422\u0435\u0439\u043b\u043e\u0440\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<p> \u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u0447, \u0432 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438 \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0446\u0438\u0439 \u0438 \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043e\u043a. \u0412 \u044d\u0442\u043e\u043c \u0441\u043c\u044b\u0441\u043b\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044b \u0442\u0430\u043a\u0436\u0435 \u0447\u0430\u0441\u0442\u043e \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439 \u0441 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0438.<\/p>\n<p> \u041f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0430 \u0438\u0437 n \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043a\u0430\u0436\u0434\u043e\u043c\u0443 \u0438\u0437 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u043e\u0432. \u0418\u0442\u0430\u043a, \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043f\u0435\u0440\u0435\u0441\u0442\u0430\u043d\u043e\u0432\u043a\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0435\u0441\u043b\u0438 \u0432 \u0437\u0430\u0434\u0430\u0447\u0435 \u0432\u044b \u0445\u043e\u0442\u0438\u0442\u0435 \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0435\u0439, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0438\u0442\u044c 7 \u043e\u0431\u044a\u0435\u043a\u0442\u043e\u0432, \u0432\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 7.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u043e\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435:<\/p>\n<ul>\n<li> \u0423 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c 5 \u0440\u0430\u0437\u043d\u044b\u0445 \u043f\u0430\u0440 \u043e\u0431\u0443\u0432\u0438, \u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c\u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u0430\u043c\u0438 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0445 \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0438\u0442\u044c?<\/li>\n<\/ul>\n<p> \u0412 \u044d\u0442\u043e\u043c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0438 \u043d\u0430\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u043e\u0438\u0442 \u043d\u0430\u0439\u0442\u0438 \u0432\u0441\u0435 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0435 \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u043e\u0431\u044a\u0435\u0434\u0438\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 5 \u043f\u0430\u0440 \u043e\u0431\u0443\u0432\u0438 \u0441 \u0443\u0447\u0435\u0442\u043e\u043c \u043f\u043e\u0440\u044f\u0434\u043a\u0430 \u0438\u0445 \u0440\u0430\u0437\u043c\u0435\u0449\u0435\u043d\u0438\u044f. \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0440\u0435\u0448\u0438\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0443, \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u0442\u043e \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 5:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6725f02a218ddc6ac88f42df99e13261_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5! = 1\\cdot 2 \\cdot 3\\cdot 4\\cdot 5 =120\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"184\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, 5 \u043f\u0430\u0440 \u043e\u0431\u0443\u0432\u0438 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0437\u043c\u0435\u0441\u0442\u0438\u0442\u044c 120 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u043c\u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u0430\u043c\u0438.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-del-numero-factorial\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0438\u043c\u0435\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u0434\u0432\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u043b\u0430 <em>n<\/em> \u0438 <em>m<\/em> \u0442\u0430\u043a\u0438\u0435, \u0447\u0442\u043e <em>n<\/em> \u0431\u043e\u043b\u044c\u0448\u0435 <em>m<\/em> , \u0442\u043e, \u043e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 <em>n<\/em> \u0431\u043e\u043b\u044c\u0448\u0435, \u0447\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 <em>m<\/em> .<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e858d82412bf78abe42397373dc67e5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>m \\quad \\longrightarrow \\quad n! > m!&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;15&#8243; width=&#187;183&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0437\u043b\u043e\u0436\u0438\u0442\u044c \u043d\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044b \u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u043e\u0434\u0438\u043d \u0438\u0437 \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439 \u0431\u044b\u043b \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u043c \u043c\u0435\u043d\u044c\u0448\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-37ca3a1bea020ccbff019c2e1766be93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>m \\quad \\longrightarrow \\quad n!= n\\cdot (n-1) \\cdots (m+1)\\cdot m!&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;19&#8243; width=&#187;361&#8243; style=&#187;vertical-align: -5px;&#187;><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, 6 \u0431\u043e\u043b\u044c\u0448\u0435 4, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 6 \u043c\u043e\u0436\u043d\u043e \u0443\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ca24a5de3e3cad7df5fc66d694e6eee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6! = 6 \\cdot 5 \\cdot 4!\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"94\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0441\u043f\u0440\u0430\u0432\u0435\u0434\u043b\u0438\u0432\u043e \u0434\u043b\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u043b\u044e\u0431\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430, \u043a\u0440\u043e\u043c\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 1:<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-35dd01cda41e2b84fbf524ff6632b4f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle n!< \\left( \\frac{n+1}{2} \\right)^n\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"118\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorial-de-un-numero-negativo-o-decimal\"><\/span> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043b\u0438 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041c\u044b \u0442\u043e\u043b\u044c\u043a\u043e \u0447\u0442\u043e \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0446\u0435\u043b\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430, \u043d\u043e\u2026 \u043c\u043e\u0436\u0435\u043c \u043b\u0438 \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043b\u0438 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430? \u041e\u0442\u0432\u0435\u0442 \u2014 \u0434\u0430, \u043d\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b \u0433\u043b\u0443\u0431\u043e\u043a\u0438\u0435 \u0437\u043d\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438.<\/p>\n<p> \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0438 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u043e\u0439 \u00ab\u0413\u0430\u043c\u043c\u0430-\u0444\u0443\u043d\u043a\u0446\u0438\u044f \u042d\u0439\u043b\u0435\u0440\u0430\u00bb, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20553bef4090def5334022fbbd8f646b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\Gamma(z)=\\int_0^\\infty t^{z-1} e^{-t}\\, \\mathrm{d}t\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"168\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043b\u044e\u0431\u043e\u0439 \u0442\u0438\u043f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u043c\u043e\u0436\u043d\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0433\u0430\u043c\u043c\u0430-\u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0432\u0441\u0435\u0433\u0434\u0430 \u0432\u0435\u0440\u043d\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d336cefb8a14d587ad508fcde7c55914_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n! = \\Gamma(n+1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b 0,5, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74cf80cb3a1094ad541acd2fadab6c93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Gamma(1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"50\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u043f\u043e\u0442\u043e\u043c\u0443 \u0447\u0442\u043e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b2359c9eadbef6aad92eb84450a4165_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,5! = \\Gamma(0,5+1) =\\Gamma(1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"209\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0440\u0435\u0448\u0435\u043d\u0438\u0435 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0430 \u0431\u0443\u0434\u0435\u0442 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0443 0,5.<\/p>\n<p> \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0440\u0435\u0448\u0438\u0442\u044c \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u043e\u0442 \u0433\u0430\u043c\u043c\u0430-\u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0435\u043f\u0440\u043e\u0441\u0442\u043e, \u0438 \u043c\u044b \u043d\u0435 \u0431\u0443\u0434\u0435\u043c \u0443\u0447\u0438\u0442\u044c \u044d\u0442\u043e\u043c\u0443 \u0432 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043c\u043d\u043e\u0433\u0438\u0435 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043f\u043e\u043d\u044f\u0442\u0438\u044f \u043f\u0440\u0438\u0434\u0435\u0442\u0441\u044f \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0442\u044c \u0437\u0430\u0440\u0430\u043d\u0435\u0435. \u041d\u043e \u043c\u044b \u0445\u043e\u0442\u0435\u043b\u0438, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u0437\u043d\u0430\u043b\u0438, \u0447\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u0430 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043b\u0438 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430.<\/p>\n<p> \u0424\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438, \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u043b\u0438 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044b \u0438 \u0434\u0435\u0441\u044f\u0442\u0438\u0447\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f: <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7ad27047f682b1254c792b678fc5fdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\underline{\\bm{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: -3px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b827a8ed6060949fe26a6587d7f0967a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\underline{\\bm{n!}}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1d9404653c812c40471f884311057d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{1}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23d859aa265b7e809f660f3044c24290_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{2}\\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"37\" style=\"vertical-align: -12px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a19589a09d32e0a6528c6504a6011606_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(-\\frac{1}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"54\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdb20bafedd2cc451408e573c7e9d3c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"25\" style=\"vertical-align: -3px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb86f24adb23da02e1f18f7d06c4e851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{3}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cbc4e85460f947ab1d92294e3847264e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{3}{4}\\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"37\" style=\"vertical-align: -12px;\"><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-973e06c4da8ee3607e1e8f94a7a7bf4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{5}{2}\\right)!\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"40\" style=\"vertical-align: -17px;\"><\/p>\n<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c675261e5e335903926dc229dae84d9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{15}{8}\\sqrt{\\pi}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"45\" style=\"vertical-align: -12px;\"><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0438 \u043a\u0430\u043a \u043e\u043d \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044b \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432. \u041e\u043d \u0442\u0430\u043a\u0436\u0435 \u0443\u0447\u0438\u0442, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u0430. \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u0440\u043e\u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0435 \u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u043e\u0432. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0444\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b \u0447\u0438\u0441\u043b\u0430 \u0440\u0430\u0432\u0435\u043d \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044e \u0432\u0441\u0435\u0445 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043e\u0442 1 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d0%b0%d0%ba%d1%82%d0%be%d1%80%d0%b8%d0%b0%d0%bb-%d1%87%d0%b8%d1%81%d0%bb%d0%b0\/\"> <span class=\"screen-reader-text\">\u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0447\u0438\u0441\u043b\u0430<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[2],"tags":[],"class_list":["post-65","post","type-post","status-publish","format-standard","hentry","category-2"],"yoast_head":"<!-- This site is optimized 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