1. There are 15 members on the board of directors for a Fortune 500 company. If they must select a chairperson, a first vice chairperson, a second vice chairperson, and a secretary.

(a) How many different ways the officers can be selected?

(b) Please describe the method used and the reason why it is appropriate for answering the question. explain why.

2. Amy has six books from the Statistics is Fun series. She plans on bringing two of the six books with her in a road trip.

(a) How many different ways can the two books be selected?

(b) Please describe the method used and the reason why it is appropriate for answering the question. explain why

3. There are 4 suits (heart, diamond, clover, and spade) in a 52-card deck, and each suit has 13 cards. Suppose your experiment is to draw one card from a deck and observe what suit it is. Express the probability in fraction format. (Show work)

(a) Find the probability of drawing a heart or diamond.

(b) Find the probability that the card is not a spade.