RosettaCodeData/Task/Permutations-Derangements/Mathematica/permutations-derangements.math

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Needs["Combinatorica`"]
derangements[n_] := Derangements[Range[n]]
derangements[4]
Table[{NumberOfDerangements[i], Subfactorial[i]}, {i, 9}] // TableForm
Subfactorial[20]