Chapter 16, Problem 27E

In Exercises 27 through 30, you are asked to give your answer using the notation $P{}_r$ or $C{}_r$ You do not have to give an actual numerical answer, so you won’t need a calculator.

The board of directors of the XYZ Corporation has 15 members.

a. How many different slates of four officers (a President, a Vice President, a Treasurer, and a Secretary) can be chosen?

b. A four-person committee needs to be selected to conduct a search for a new CEO.

In how many ways can the search committee be selected?