Question

Compute the given expression.

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

Short answer

The answer is$56.$

Step-by-step solution

Step 1.  Given information.

The given information is$C\left(8,3\right).$

Step 2. Compute the expression.

To compute the expression we use listing combinations.

Thus,

$$\begin{gathered} C\left(8,3\right)=\frac{8!}{(8-3)!3!} \\ =\frac{8\times 7\times 6\times 5!}{5!3!} \\ =\frac{8\times 7\times 6}{3\times 2\times 1} \\ =56. \end{gathered}$$