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

D.

Explanation:

Answer 2

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* ^(10)C_7\\\\\\=(14!)/(5!(14-5)!)* (10!)/(7!(10-7)!)\\\\\\=(14*13*12*11*10*9!)/(5*4*3*2*1*9!)*(10*9*8*7!)/(7!*3*2*1)\\\\\\=2002*120\\\\=240240.`

Thus, the required number of different juries is 240240.

Option (d) is CORRECT.