How do you evaluate $_{7} P_{7}$ $""_7P_7$ ?

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Answer 1 · 2017-05-06T11:21:55

5040

The permutation general formula is

$P_{n, k} = \frac{n!}{(n - k)!}$ $P_(n,k)=(n!)/((n-k)!)$ ; $n = population, k = picks$ $n="population", k="picks"$

and so:

$P_{7, 7} = \frac{7!}{(7 - 7)!} = \frac{7!}{0!} = \frac{7!}{1} = 5040$ $P_(7,7)=(7!)/((7-7)!)=(7!)/(0!)=(7!)/1=5040$

How do you evaluate 7P7""_7P_7?