Question

In a college there are 20 professors including the principal and the vice principal. A committee of 5 is to be formed. In how many ways it can be formed so that neither the principal nor the vice principal is included?

• A. C(20,2)
• B. C(20,18)
• C. C(18,5)
• D. C(18,2)

Answer 1

The correct option is B

C(20,18)

Since neither the principal nor the vice principal is to be

included, the selection of 5 is to be made out of the remaining 18 professors.

So, the number of ways are C (18, 5).