Choosing portable grill displays. Refer to the Journal of Consumer Research (Mar. 2003) study of how people attempt to influence the choices of others, Exercise 3.29

(p. 159).

Recall that students selected three portable grill displays to be compared from an offering of five different grill displays.

a. Use a counting rule to count the number of ways the three displays can be selected from the five available displays to form a three-grill-display combination.

b. The researchers informed students to select the three displays in order to convince people to choose Grill #2.

Consequently, Grill #2 was a required selection. Use a counting rule to count the number of different ways the three grill displays can be selected from the five displays if Grill #2 must be selected. (Your answer should agree with the answer in 3.29a.)

c. Now suppose the three selected grills will be set up in a specific order for viewing by a customer. (The customer views one grill first, then the second, and finally the third grill.) Again, Grill #2 must be one of the three selected.

How many different ways can the three grill displays be selected if customers view the grills in order?