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?

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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