Question

A company’s board of directors wants to form a committee of 3 of its members. There are 4 members to choose from. How many different committees of 3 members could possibly be formed ?

Answer 1

4

Explanation:

There are 4 board members and 3 committee members. You can solve this using combinations:

4C3 = 4!/(3!(4-3)!) = 4!/(3!1!) = 4

You can also solve this by recognizing that since there is one fewer committee spot than there are board members, there will be one possible committee excluding each of the 4 board members.