Question

Compute the given expression.

$P\left(8,3\right)$

Short answer

The answer is $336$.

Step-by-step solution

Step 1. Given information.

Given information is$P\left(8,3\right)$.

Step 2.  Compute the following.

$$\begin{gathered} P\left(8,3\right)=\frac{8!}{\left(8-3\right)!} \\ =\frac{8!}{5!} \\ =\frac{8\times 7\times 6\times 5!}{5!} \\ =8\times 7\times 6 \\ =336 \end{gathered}$$