JCL Computers has five vacancies in its executive trainee pr

JCL Computers has five vacancies in its executive trainee program. In how many ways can the company select five trainees from a group of twelve female and twelve male applicants if the vacancies

(a) Can be filled by any combination of men and women?

(b) Must be filled by two men and three women?

Solution

a. To choose 5 trainees from total 24 men and women:

Number of ways = 24C5 = 42504

b. To choose 2 trainees from 12 men and 3 trainees from 12 women:

Number of ways = 12C2 * 12C3 = 14520