Chapter 12, Problem 55RE

To determine

To evaluate: The given binomial coefficient.

Answer to Problem 55RE

The evaluation is $10$ .

Explanation of Solution

Given: $\left(\begin{array}{l}5\\ 2\end{array}\right)$

The binomial coefficient is evaluated as,

  $\begin{array}{c}\left(\begin{array}{l}5\\ 2\end{array}\right)=\frac{5!}{2!\left(5-2\right)!}\\ =10\end{array}$

Therefore, the evaluation is $10$ .