Answer
1680
Work Step by Step
We know that:
$_nP_r = \frac{n!}{(n-r)!}$
$_8P_4 = \frac{8!}{(8-4)!}$
$\frac{8!}{4!}$
We also know that:
$x! = x(x-1)(x-2)...(1)$
Thus, we have:
$\frac{8*7*6*5*4*3*2*1}{4*3*2*1}$
=1680
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