Question

Evaluate each expression.

$\frac{7!}{3!}$

Short answer

The value of the expression is $\frac{7!}{3!}=840$

Step-by-step solution

Step 1. Given Information.

Given to evaluate the expression $\frac{7!}{3!}$.

Step 2. Calculation.

$\begin{array}{l}\frac{7!}{3!}=\frac{7\cdot 6\cdot 5\cdot 4\cdot 3!}{3!}\\ \frac{7!}{3!}=7\cdot 6\cdot 5\cdot 4\\ \frac{7!}{3!}=840\end{array}$

Step 3. Conclusion.

Hence, the value of the expression is $\frac{7!}{3!}=840$.