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Ordered subgroups of n from N: N(N-1)...(N-(n-1)) = N!/(N-n)!. Mirrors morie.fn ...1e3/1e5.

Usage

morie_partial_permutations(N, n)

Arguments

N, n

pool size and subgroup size, 0 <= n <= N.

Value

the exact count as a double.

References

Morin (2016), eqs. (1.3), (1.5)-(1.6).

Examples

morie_partial_permutations(10, 3)
#> [1] 720