Poker Hands: A poker hand consists of 5 cards chosen from a standard 52
card deck. (There are C(52,5) = 2,598,960 possible poker hands.)

5.6.32 How many poker hands consist of 2 aces, 2 cards of another denomination,
and 1 card of a third denomination?

5.6.33 How many poker hands consist of 3 cards of 1 denomination and 2 cards
of another denomination? (Such a hand is called a "full house".)

5.6.34 How many poker hands consist of 2 cards of one denomination, 2 cards
of another (different) denomination, and 1 card of a third denomination?
(Such a hand is called "two pairs".)