Question

The value of $\frac{\left(\frac{10!}{5!}\right)}{10}$ is

• A. 5040
• B. 3024
• C. 1096
• D. 512

Answer 1

The correct option is B

3024

First, let us evaluate $\frac{10!}{5!}$

$\frac{10!}{5!}=\frac{10\times 9\times 8\times 7\times 6\times 5}{5}=10\times 9\times 8\times 7\times 6$

$Now,\frac{\left(\frac{10!}{5!}\right)}{10}=9\times 8\times 7\times 6$
= 3024