Question

Evaluate each expression.

$\frac{6!}{1!}$

Short answer

The value of the expression is $\frac{6!}{1!}=720$

Step-by-step solution

Step 1. Given Information.

Given to evaluate the expression $\frac{6!}{1!}$.

Step 2. Calculation.

$\begin{array}{l}\frac{6!}{1!}=\frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1!}{1!}\\ \frac{6!}{1!}=6\cdot 5\cdot 4\cdot 3\cdot 2\\ \frac{6!}{1!}=720\end{array}$

Step 3. Conclusion.

Hence, the value of the expression is $\frac{6!}{1!}=720$.