Chapter 13.2, Problem 65AYU

To determine

To find: The number of ways in which the men’s double lawn-tennis team be formed if there are 10 men players completing to be in the team.

Answer to Problem 65AYU

The possible way to form the team is $45$ .

Explanation of Solution

Consider the formula for the combination is,

  $C\left(n,r\right)=\frac{n!}{\left(n-r\right)n!}$

Consider that only 2 out of ten players are selected to form the team then,

  $\begin{array}{c}C\left(10,2\right)=\frac{10!}{\left(10-2\right)!}\\ =\frac{10!}{2!8!}\\ =45\end{array}$