Question

Evaluate each expression.

$\frac{5!}{5!0!}$

Short answer

The value of the expression is $\frac{5!}{5!0!}=1$

Step-by-step solution

Step 1. Given Information.

Given to evaluate the expression $\frac{5!}{5!0!}$.

Step 2. Calculation.

$\begin{array}{l}\frac{5!}{5!0!}=\frac{5!}{5!\cdot 1}\\ \frac{5!}{5!0!}=\frac{120}{120\cdot 1}\\ \frac{5!}{5!0!}=1\end{array}$

Step 3. Conclusion.

Hence, the value of the expression is $\frac{5!}{5!0!}=1$.