Question

In Problems 11–16, evaluate each factorial expression.

$\frac{12!}{10!}$

Short answer

The value of the given factorial expression is$132$

Step-by-step solution

Step 1. Write the given information.

The given factorial expression is $\frac{12!}{10!}$

The formula for the factorial is$n!=n(n-1)!$

Step 2. Evaluate with the help of factorial formula.

We have to solve $\frac{12!}{10!}$

$$\begin{gathered} \frac{12!}{10!}=\frac{12\times 11\times 10!}{10!} \\ =12\times 11 \\ =132 \end{gathered}$$

So,

$\frac{12!}{10!}=132$