In Example 4.31 on page 233, we considered exacta wagering in horse racing. Two similar wagers are the quinella and the trifecta. In a quinella wager, the bettor picks the two horses that he or she believes will finish first and second, but not in a specified order. In a trifecta wager, the bettor picks the three horses he or she thinks will finish first, second, and third in a specified order. For a 12-horse race,

a. how many different quinella wagers are there?

b. how many different trifecta wagers are there?

c. Repeat parts

(a) and

(b) for an 8-horse race.

* Bridge.