{"id":10879,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/factorial\/"},"modified":"2021-02-25T17:18:56","modified_gmt":"2021-02-25T17:18:56","slug":"fact","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pt-pt\/fact\/","title":{"rendered":"FACTORIAL"},"content":{"rendered":"<h2>Sintaxe e Uso da Fun\u00e7\u00e3o de C\u00e1lculo de Fatorial<\/h2>\n<p>A fun\u00e7\u00e3o FACT (no Excel) ou FATORIAL (no Google Planilhas) calcula o fatorial de um n\u00famero, que \u00e9 o produto de todos os inteiros positivos at\u00e9 esse n\u00famero. Este conceito \u00e9 fundamental em estudos de combina\u00e7\u00f5es e permuta\u00e7\u00f5es matem\u00e1ticas.<\/p>\n<p>A sintaxe da fun\u00e7\u00e3o \u00e9 simples:<\/p>\n<ul>\n<li><strong>Excel:<\/strong> <code>FACT(n\u00famero)<\/code><\/li>\n<li><strong>Google Planilhas:<\/strong> <code>FATORIAL(n\u00famero)<\/code><\/li>\n<\/ul>\n<p>Nestes casos, &#8220;n\u00famero&#8221; se refere ao inteiro n\u00e3o negativo cujo fatorial deseja-se calcular.<\/p>\n<h2>Exemplo Pr\u00e1tico de Uso<\/h2>\n<p>Para calcular o fatorial de 5, as f\u00f3rmulas seriam:<\/p>\n<pre><code> =FACT(5) no Excel =FATORIAL(5) no Google Planilhas <\/code><\/pre>\n<p>O resultado seria 120, uma vez que 5 * 4 * 3 * 2 * 1 = 120.<\/p>\n<h2>Casos de Aplica\u00e7\u00e3o Pr\u00e1tica<\/h2>\n<p>Aqui est\u00e3o algumas situa\u00e7\u00f5es em que o c\u00e1lculo do fatorial se mostra \u00fatil:<\/p>\n<h3>1. C\u00e1lculo de Permuta\u00e7\u00f5es<\/h3>\n<p>Para determinar o n\u00famero de maneiras de organizar um conjunto de objetos, o uso da fun\u00e7\u00e3o de fatorial \u00e9 crucial. Por exemplo, para calcular as diferentes maneiras de organizar cinco livros em uma prateleira:<\/p>\n<pre><code> =FACT(5) no Excel =FATORIAL(5) no Google Planilhas <\/code><\/pre>\n<p>Isso resulta em 120 maneiras distintas de arrumar esses cinco livros.<\/p>\n<h3>2. Combina\u00e7\u00f5es em Jogos de Azar<\/h3>\n<p>Nos jogos de loteria, \u00e9 essencial entender as combina\u00e7\u00f5es poss\u00edveis para calcular as chances de ganhar. Por exemplo, em um jogo de loteria onde se deve escolher 6 n\u00fameros de um total de 49, o total de combina\u00e7\u00f5es poss\u00edveis \u00e9 calculado usando o fatorial:<\/p>\n<p>Para este cen\u00e1rio, a f\u00f3rmula de combina\u00e7\u00f5es \u00e9:<\/p>\n<pre><code> =COMBIN(49, 6) no Excel =COMBIN(49, 6) no Google Planilhas <\/code><\/pre>\n<p>A fun\u00e7\u00e3o COMBIN utiliza fatoriais internamente para chegar ao resultado de 13,983,816 combina\u00e7\u00f5es poss\u00edveis.<\/p>\n<h2>Conclus\u00e3o<\/h2>\n<p>O entendimento e uso da fun\u00e7\u00e3o de c\u00e1lculo do fatorial s\u00e3o extremamente \u00fateis em v\u00e1rias \u00e1reas, desde matem\u00e1tica aplicada at\u00e9 jogos e organiza\u00e7\u00e3o de tarefas. Aprofunde-se em seus usos em ferramentas como Excel e Google Planilhas para aprimorar suas habilidades anal\u00edticas e de resolu\u00e7\u00e3o de problemas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Devolve o fatorial de um n\u00famero<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[437],"tags":[],"class_list":["post-10879","post","type-post","status-publish","format-standard","hentry","category-matematica-e-trigonometria"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fun\u00e7\u00e3o FACT (FACTORIAL) no Excel \u2013 como funciona, exemplos e sintaxe<\/title>\n<meta name=\"description\" content=\"Breve descri\u00e7\u00e3o da fun\u00e7\u00e3o FACT (FACTORIAL) do Excel. 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