A student science club consists of 20 biology majors, 13 chemistry majors, and 8 physics majors. One student from each of the three sciences is to be selected to participate in a special project. How many different ways can these three students be selected?How many ways can the club select a president,vice president, and a treasurer?

Answer 1

A certain committee consists of 5 people. From the committee, a president, a vice-president, and a secretary are to be chosen. In how many ways can these 3 offices be filled? Assume that a committee member can hold at most one of these offices.