Chapter 8.5, Problem 65E

To determine

To find: the number of different ways can a Jury of 12 people be randomly selected from a group of 40 people.

Answer to Problem 65E

The number of ways are 558685348.

Explanation of Solution

Given infolrmlatioln:

The group has 40 people.

Calculation:

The number of different ways can a Jury of 12 people be randomly selected from a group of 40 people is calculated below.

  $\begin{array}{c}{}_{40}{C}_{12}=\frac{40!}{\left(40-12\right)!12!}\\ =\frac{40\times 39\times 38\times 37\times 36\times 35\times 34\times 33\times 32\times 31\times 30\times 29\times 28!}{28!12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}\\ =\text{558685348}\end{array}$

Therefore, the number of ways is 558685348.