{"id":10880,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/fatduplo\/"},"modified":"2021-02-25T17:18:57","modified_gmt":"2021-02-25T17:18:57","slug":"factdouble","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pt-pt\/factdouble\/","title":{"rendered":"FATDUPLO"},"content":{"rendered":"

A fun\u00e7\u00e3o FACTDOUBLE, ou FATDUPLO em portugu\u00eas, \u00e9 usada tanto no Microsoft Excel quanto no Google Planilhas para calcular o fatorial duplo de um n\u00famero. O fatorial duplo de um n\u00famero n\u00e3o negativo ‘n’ \u00e9 o produto de todos os n\u00fameros inteiros de 1 a ‘n’ que compartilham a mesma paridade (\u00edmpar ou par) de ‘n’.<\/p>\n

Descri\u00e7\u00e3o da Sintaxe<\/h2>\n

Nas duas plataformas, a sintaxe da fun\u00e7\u00e3o FATDUPLO \u00e9 a seguinte:<\/p>\n

=FATDUPLO(n\u00famero)<\/code><\/pre>\n
onde “n\u00famero” \u00e9 o valor n\u00e3o negativo para o qual o fatorial duplo ser\u00e1 calculado.<\/p>\n
Exemplos Pr\u00e1ticos de Uso<\/h2>\n
Veja a seguir alguns exemplos que ilustram o uso desta fun\u00e7\u00e3o:<\/p>\n
    \n
  • =FATDUPLO(0)<\/code> retorna 1, j\u00e1 que o fatorial duplo de 0 \u00e9 definido como 1.<\/li>\n
  • =FATDUPLO(1)<\/code> retorna 1, pois o fatorial de 1 tamb\u00e9m \u00e9 1.<\/li>\n
  • =FATDUPLO(7)<\/code> retorna 105, resultado do produto de todos os inteiros \u00edmpares de 1 a 7.<\/li>\n
  • =FATDUPLO(8)<\/code> retorna 384, que \u00e9 o produto de 8, 6, 4 e 2.<\/li>\n<\/ul>\n
    Aplica\u00e7\u00f5es Pr\u00e1ticas<\/h2>\n
    A fun\u00e7\u00e3o FATDUPLO \u00e9 amplamente utilizada em diversas \u00e1reas da matem\u00e1tica e estat\u00edstica, incluindo problemas de combina\u00e7\u00e3o e sequ\u00eancias complexas.<\/p>\n
    Problema 1: C\u00e1lculo de Permuta\u00e7\u00f5es<\/h2>\n
    Suponha que voc\u00ea deseje calcular quantas permuta\u00e7\u00f5es distintas podem ser feitas com todos os caracteres de uma palavra, considerando apenas os caracteres em posi\u00e7\u00f5es pares ou \u00edmpares.<\/p>\n
    Exemplo de Palavra:<\/b> “ABAC”<\/p>\n
    Pode-se utilizar a fun\u00e7\u00e3o FATDUPLO para representar apenas os caracteres nas posi\u00e7\u00f5es pares ou \u00edmpares:<\/p>\n
      \n
    • Caracteres em posi\u00e7\u00f5es pares: B, C (posi\u00e7\u00f5es 2 e 4)<\/li>\n
    • Caracteres em posi\u00e7\u00f5es \u00edmpares: A, A (posi\u00e7\u00f5es 1 e 3)<\/li>\n<\/ul>\n
      Para calcular permuta\u00e7\u00f5es usando apenas os caracteres pares, utiliza-se:<\/p>\n
      =FATDUPLO(2)<\/code><\/pre>\n
      Isto retorna 2, indicando duas permuta\u00e7\u00f5es poss\u00edveis com “B” e “C”.<\/p>\n
      Problema 2: Sequ\u00eancias Complexas em F\u00edsica<\/h2>\n
      Na f\u00edsica te\u00f3rica, o fatorial duplo \u00e9 utilizado para calcular termos nas expans\u00f5es de s\u00e9ries em teorias de perturba\u00e7\u00e3o, especialmente em teoria qu\u00e2ntica de campos.<\/p>\n
      Exemplo:<\/b> C\u00e1lculo da funcionalidade de uma part\u00edcula em um campo te\u00f3rico.<\/p>\n
      =FATDUPLO(6)<\/code><\/pre>\n
      Isso resultar\u00e1 no produto de todos os inteiros pares at\u00e9 6, crucial para a f\u00f3rmula final.<\/p>\n
      Esses exemplos demonstram como a fun\u00e7\u00e3o FATDUPLO pode ser aplicada no Excel e no Google Planilhas para resolver problemas complexos em diversos campos.<\/p>\n","protected":false},"excerpt":{"rendered":"
      Devolve o fatorial duplo 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-10880","post","type-post","status-publish","format-standard","hentry","category-matematica-e-trigonometria"],"acf":[],"yoast_head":"\nFun\u00e7\u00e3o FACTDOUBLE (FATDUPLO) no Excel \u2013 como funciona, exemplos e sintaxe<\/title>\n<meta name=\"description\" content=\"Breve descri\u00e7\u00e3o da fun\u00e7\u00e3o FACTDOUBLE (FATDUPLO) do Excel. 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