{"id":6533,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/factdouble\/"},"modified":"2021-02-26T08:06:01","modified_gmt":"2021-02-26T08:06:01","slug":"factdouble","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/factdouble\/","title":{"rendered":"FACTDOUBLE"},"content":{"rendered":"

Cette fonction est accessible dans Microsoft Excel pour calculer le \u00ab\u00a0double factoriel\u00a0\u00bb d’un nombre entier non n\u00e9gatif sp\u00e9cifi\u00e9. Bien qu’elle ne soit pas directement disponible dans Google Sheets, il est possible de la simuler \u00e0 l’aide d’une formule personnalis\u00e9e cr\u00e9\u00e9e avec Google Apps Script. Voici une explication d\u00e9taill\u00e9e de son utilisation et de ses cas d’application.<\/p>\n

Syntaxe et exemples<\/h2>\n

Dans Excel, la syntaxe de la fonction est la suivante :<\/p>\n

=FACTDOUBLE(nombre)<\/code><\/pre>\n
o\u00f9 nombre<\/em> est l’entier non n\u00e9gatif pour lequel vous souhaitez calculer le double factoriel.<\/p>\n
Exemple :<\/strong><\/p>\n
    \n
  • Lorsque vous entrez =FACTDOUBLE(4)<\/code>, Excel renvoie 8, car 4!! = 4 x 2 = 8.<\/li>\n
  • En entrant =FACTDOUBLE(5)<\/code>, le r\u00e9sultat sera 15, puisque 5!! = 5 x 3 x 1 = 15.<\/li>\n<\/ul>\n
    Application – Calcul dans un contexte r\u00e9el<\/h2>\n
    Cette fonction est particuli\u00e8rement pertinente pour divers calculs en statistique et en th\u00e9orie des probabilit\u00e9s.<\/p>\n
    Exemple de r\u00e9solution de probl\u00e8mes<\/h2>\n
    Probl\u00e8me 1 : Calcul de permutations uniques dans les \u00e9quipes<\/strong><\/p>\n
    Consid\u00e9rons la formation d’\u00e9quipes de 2 personnes parmi un groupe de 8. Chaque \u00e9quipe de 2 est unique, et l’ordre des membres dans l’\u00e9quipe est indiff\u00e9rent. La fonction peut \u00eatre employ\u00e9e pour d\u00e9terminer le nombre de mani\u00e8res de former ces \u00e9quipes :<\/p>\n
    =FACTDOUBLE(8) \/ (2^4 * FACTDOUBLE(4))<\/code><\/pre>\n
    Cela exploite la propri\u00e9t\u00e9 selon laquelle k paires peuvent \u00eatre form\u00e9es par 8!! \/ (2^k * k!!).<\/p>\n
    Probl\u00e8me 2 : Analyse de r\u00e9seau<\/strong><\/p>\n
    Dans un sc\u00e9nario de conception de r\u00e9seau o\u00f9 chaque n\u0153ud peut \u00eatre connect\u00e9 \u00e0 n-1 autres n\u0153uds et chaque paire de connexions unique est compt\u00e9e, si vous avez un r\u00e9seau de 5 n\u0153uds, le nombre de paires de connexions uniques possibles serait :<\/p>\n
    =FACTDOUBLE(5)<\/code><\/pre>\n
    Ce calcul donnerait 15, repr\u00e9sentant les diff\u00e9rentes paires possibles pour \u00e9tablir des connexions dans le r\u00e9seau.<\/p>\n
    Extension dans Google Sheets<\/h2>\n
    Pour impl\u00e9menter une fonction similaire dans Google Sheets, qui ne dispose pas nativement de FACTDOUBLE()<\/code>, vous pouvez \u00e9crire une fonction personnalis\u00e9e avec Google Apps Script :<\/p>\n
    function FACTDOUBLE_CUSTOM(n) { if (n == 0 || n == 1) return 1; else return n * FACTDOUBLE_CUSTOM(n - 2); }<\/code><\/pre>\n
    Une fois cette fonction d\u00e9finie, vous pouvez l’utiliser dans vos feuilles de calcul Google Sheets de cette mani\u00e8re :<\/p>\n
    =FACTDOUBLE_CUSTOM(5)<\/code><\/pre>\n
    Cela renverra 15, tout comme dans l’exemple Excel pr\u00e9c\u00e9dent.<\/p>\n
    Gr\u00e2ce \u00e0 ces m\u00e9thodes, les utilisateurs d’Excel et de Google Sheets peuvent appliquer la fonction de double factoriel dans divers contextes de calculs combinatoires et d’analyses quantitatives.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie la factoRielle double d\u2019un nombRe<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[310],"tags":[],"class_list":["post-6533","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"\nFonction FACTDOUBLE dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction FACTDOUBLE d\u2019Excel et Google Sheets. 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