Solve the problem.
-How many committees of 5 people can be selected from 9 men and 8 women if the committee must have 3 men and 2 women?
A) 2492
B) 2352
C) 2332
D) 28,224

Question

Quizplus · Accepted Answer

To form a committee of 5 people with 3 men and 2 women, we calculate the combinations separately for men and women and then multiply them. For the men, we have 9 men and need to choose 3, which is calculated as 9C3 = 9! / (3!(9-3)!) = 84. For the women, we have 8 women and need to choose 2, which is calculated as 8C2 = 8! / (2!(8-2)!) = 28. Multiplying these two results gives the total number of possible committees: 84 * 28 = 2352.

Solve the Problem. -How Many Committees of 5 People Can Be Selected from Be