Consumer Reports magazine annually asks readers to evaluate their experiences in buying a new car during the previous year. More than 120.000 questionnaires were completed for the 1994 sales year. Analysis of the questionnaires revealed that readers' were most satisfied with the following three dealers (in no particular order): Infiniti, Saturn, and Saab (Consumer Reports, Apr. 1995).

a. List all possible sets of rankings for these top three dealers.

b. Assuming that each set of rankings in part a is equally likely, what is the probability that readers ranked Saturn first? That readers ranked Saturn third? That readers ranked Saturn first and Infiniti second (which is, in fact, what they did)?