Answer
The value of $_{9}{{P}_{5}}$ = $15,120$
Work Step by Step
We compare the provided expression with the standard form to get $ n=9,r=5$.
Put the values into the permutation formula:
That is,
$\begin{align}
& _{9}{{P}_{5}}=\frac{9!}{\left( 9-5 \right)!} \\
& =\frac{9!}{4!} \\
& =\frac{9\times 8\times 7\times 6\times 5\times 4!}{4!} \\
& =15,120
\end{align}$
