Question

In how many ways can 5 sportsmen be selected from a group of 10?

Answer 1

Selecting $5$ out of $10$

Number of ways of selection ${=}^{10}{C}_5$

$\Rightarrow \frac{10!}{5!\times 5!}$

$\Rightarrow \frac{10\times 9\times 8\times 7\times 6}{5\times 4\times 3\times 2\times 1}\Rightarrow 63\times 4\Rightarrow 252$

Hence the correct answer is $252$