Verified Answer :

nobillionaireNobley

\(^{n}P _{r} = \frac{n!}{(n-r)!} \\ ^{8}P _{5} = \frac{8!}{(8-5)!} \\ = \frac{8!}{3!} \\ = \frac{8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \\ = 8 \times 7 \times 6 \times 5 \times 4 \\ = 6720\)

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