A pool of possible jurors consists of 15 men and 10 women. How many different juries consisting of 5 men and 7 women are possible?
A)3123
B)1,352,078
C)5,200,300
D)360,360

Question

Quizplus · Accepted Answer

To find the number of different juries consisting of 5 men out of 15 and 7 women out of 10, we use combinations. For the men: $C(15, 5) = \frac{15!}{5!(15-5)!}$ and for the women: $C(10, 7) = \frac{10!}{7!(10-7)!}$. Multiplying these two gives the total number of possible juries, which is 360,360.

A Pool of Possible Jurors Consists of 15 Men and 10