Suppose you wish to drive, in sequence, from a starting point to each of five cities, and you wish to compare the distances—and, ultimately, the costs—of the different routes. Denote the five cities as C1, C2, C3, C4, and C5.

a. How many different routes would you have to compare?

b. Suppose the driving distance from C2 to C1 is the most costly. How many of the routes include this distance? LO5

c. If the routes are selected at random, what is the probability that the route includes driving from C2 to C1?