Three members from a 14-member committee are to be randomly selected to serve as chair, vice-chair, and secretary. The first person selected is the chair, the second is the vice-chair, and the third is the secretary. How many different committee structures are possible?

Approach The task consists of making three selections. The first selection requires choosing from 14 members. Because a member cannot serve in more than one capacity, the second selection requires choosing from the 13 remaining members. The third selection requires choosing from the 12 remaining members. (Do you see why?) We use the Multiplication Rule to determine the number of possible committee structures.