Solve the problem.
-A pool of possible jurors consists of 10 men and 16 women. How many different juries consisting of 5 men and 7 women are possible?
A)1,532,078
B)2,882,880
C)9,657,700
D)11,692

Question

Quizplus · Accepted Answer

To find the number of different juries consisting of 5 men out of 10 and 7 women out of 16, we use combinations since the order does not matter. For the men, it's $C(10,5) = \frac{10!}{5!(10-5)!}$ and for the women, it's $C(16,7) = \frac{16!}{7!(16-7)!}$. Multiplying these two gives the total number of possible juries: $C(10,5) \times C(16,7) = 252 \times 11,440 = 2,882,880$.

Solve the Problem. -A Pool of Possible Jurors Consists of 10 Men and 10