Answer
The value of $_{8}{{P}_{3}}$ = $336$
Work Step by Step
We have to compare the provided expression with the standard form; it gives $ n=8,r=3$.
Put the values in the permutation formula:
That is,
$\begin{align}
& _{8}{{P}_{3}}=\frac{8!}{\left( 8-3 \right)!} \\
& =\frac{8!}{5!} \\
& =\frac{8\times 7\times 6\times 5!}{5!} \\
& =336
\end{align}$
