Derangements (no fixed point permutations) (D_n = count of permutations of n items where no item keeps its original)

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D_n = count of permutations of n items where no item keeps its original place

What each symbol means

SymbolWhat it stands for
nSize of set
D_nNumber of derangements of n labelled objects

When to use this

D_0=1 (empty permutation), D_1=0, D_2=1, D_3=2, D_4=9.