Obtain the values of : ^ 8 P_ 7 - Vidyadip

Question

Obtain the values of : ${ }^{8} P_{7}$

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Answer

${ }^8 P_7=\frac{8 !}{(8-7) !}$
$ =\frac{8 !}{1 !}$
$ =8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1=40320$
$ \therefore{ }^8 P_7=40320$
Alternative method:
${ }^8 P_7=8(8-1)(8-2)(8-3)(8-4)(8-5)(8-6) .$
$ =8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2=40320$
$ { }^8 P_7=40320$

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