Question

In Problems 11–16, evaluate each factorial expression.

$\frac{9!}{6!}$

Short answer

The value of the given factorial expression is$504$

Step-by-step solution

Step 1. Write the given information.

The given factorial expression is $\frac{9!}{6!}$

The formula of factorial is

$n!=n(n-1)!$

Step 2. Evaluate with the help of factorial formula.

We have to solve$\frac{9!}{6!}$

$$\begin{gathered} \frac{9!}{6!}=\frac{9\times 8\times 7\times 6!}{6!} \\ =9\times 8\times 7 \\ =504 \end{gathered}$$

So,

$\frac{9!}{6!}=504$