Chapter 12, Problem 56RE

To determine

To evaluate: The given binomial coefficient.

Answer to Problem 56RE

The evaluation is $28$ .

Explanation of Solution

Given: $\left(\begin{array}{l}8\\ 6\end{array}\right)$

The binomial coefficient is evaluated as,

  $\begin{array}{c}\left(\begin{array}{l}8\\ 6\end{array}\right)=\frac{8!}{6!\left(8-6\right)!}\\ =\frac{8\times 7\times 6!}{6!\times 2!}\\ =\frac{56}{2}\\ =28\end{array}$

Therefore, the evaluation is $28$ .