Category:Closed Form for Number of Derangements on Finite Set

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This category contains pages concerning Closed Form for Number of Derangements on Finite Set:


The number of derangements $D_n$ on a finite set $S$ of cardinality $n$ is:

\(\ds D_n\) \(=\) \(\ds n! \paren {1 - \dfrac 1 {1!} + \dfrac 1 {2!} - \dfrac 1 {3!} + \cdots + \dfrac {\paren {-1}^n} {n!} }\)
\(\ds \) \(=\) \(\ds !n\) where $!n$ denotes the subfactorial of $n$

Pages in category "Closed Form for Number of Derangements on Finite Set"

The following 3 pages are in this category, out of 3 total.