# How to evaluate 8P7?

How to evaluate 8P7?
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Step 1
Using the definition of ${\text{using the definition of}\phantom{\rule{1ex}{0ex}}}^{n}{P}_{r}=\frac{n!}{\left(n-r\right)!}$
where $\text{where}\phantom{\rule{1ex}{0ex}}n!=n\left(n-1\right)\left(n-2\right)......×1$
Step 2
${⇒}^{8}{P}_{7}=\frac{8!}{1!}$
$××x=\frac{8×7×6×5×4×3×2}{1}$
$××x=40320$