If nP4=1680 , then n is

If _{$^{n} P_{4} = 1680$} , then n is

A
7
B
10
C
8
D
9

Solution:

${}^{n}P_{4} = 1680 = 8 \times 7 \times 6 \times 5$ $= P (8, 4)$

$\Rightarrow n = 8$

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