From a group of 15 women and 12 men a researcher wants to ra

From a group of 15 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can the study group be selected?

A. 3,185,325

B. 13,037,895

C. 6930

D. 279,417,600

Solution

We first select 8 women out of 15 in 15C8 ways

Then we select 8 mean out of 12 in 12C8 ways.

Total number of ways = 15C8*12C8 = 3,185,325

Answer: A. 3,185,325