Chapter 13.2, Problem 16AYU

In Problems 15-22, use formula (2) to find the value of each combination.

$C\left(8,6\right)$

To determine

To find: The value of each combination.

Answer to Problem 16AYU

28

Explanation of Solution

Given:

$C\left(8,6\right)$

Formula used:

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

Calculation:

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

$C\left(8,6\right)=\frac{8!}{\left(8-6\right)!6!}$

$C\left(8,6\right)=\frac{8!}{2!6!}=\frac{8*7*6!}{2!*6!}$

$C\left(8,6\right)=28$