Question

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possible? a. 2,704,156 c. 840.000331 b. 0.00033069 d. 240,240

Answer 1

Answer:  The correct option is (d) 240240.

Step-by-step explanation:  Given that a pool of possible jurors consists of 14 men and 10 women.

We are to find the number of different possible juries consisting of 5 men and 7 women.

Since, we need different possible juries, so we will be using combination to solve the given problem.

The number of different juries possible are given by

$n\\\\=^{14}C_5\times ^{10}C_7\\\\\\=\dfrac{14!}{5!(14-5)!}\times \dfrac{10!}{7!(10-7)!}\\\\\\=\dfrac{14\times13\times12\times11\times10\times9!}{5\times4\times3\times2\times1\times9!}\times\dfrac{10\times9\times8\times7!}{7!\times3\times2\times1}\\\\\\=2002\times120\\\\=240240.$

Thus, the required number of different juries is 240240.

Option (d) is CORRECT.

Answer 2

It is d. 240,240

hope this helps