To fill a number of vacancies, a company must hire 3 officers from 6 applicants, and 2 managers from 4 applicants. What is the total number of ways in which the company can make its selection?

To fill a number of vacancies, a company must hire 3 officers from 6 applicants, and 2 managers from 4 applicants. What is the total number of ways in which the company can make its selection?

A 132

B 120

C 50

D 23

Solution

Correct Answer: Option B

number of selection (6C₃\( \times \)4C₂) = 20\( \times \)6 = 120 ways