پریش

BADC, BCDA, BDAC ,CADB, CDAB, CDBA ,DABC, DCAB, DCBA

${\displaystyle {\tbinom {n}{1}}(n-1)!={\tfrac {n!}{1!}}}$

${\displaystyle {\tbinom {n}{2}}(n-2)!={\tfrac {n!}{2!}}}$

${\displaystyle D(n)=n!-{\tfrac {n!}{1!}}+{\tfrac {n!}{2!}}-...+(-1)^{n}{\tfrac {n!}{n!}}}$

${\displaystyle D(n)=n!(1-{\tfrac {1}{1!}}+{\tfrac {1}{2!}}-...+(-1)^{n}{\tfrac {1}{n!}})}$

${\displaystyle 1-{\tfrac {1}{1!}}+{\tfrac {1}{2!}}-...+(-1)^{n}{\tfrac {1}{n!}}}$

${\displaystyle {\tfrac {n!}{e}}}$

• de Montmort, P. R. (1708). Essay d'analyse sur les jeux de hazard. Paris: Jacque Quillau. Seconde Edition, Revue & augmentée de plusieurs Lettres. Paris: Jacque Quillau. 1713.
• ^ Hassani, M. "Derangements and Applications." J. Integer Seq. 6, No. 03.1.2, 1-8, 2003