A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?
A. ...

Question

A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?
A. 27
B. 72
C. 81
D. 84

Accepted Answer

84 A committee is an unordered selection of people — we care about who is on it, not the order they were chosen. We use combinations C(9,3) to count the number of ways to choose 3 people from 9 without regard to order. This is a direct application of the combination formula.

A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? A. 27 B. 72 C. 81 D. 84