Question

A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13...

A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) for a total of 52 cards.

In a typical game of poker, you are dealt five cards (without replacement) from a deck of 52 cards. How many Full Houses are possible?

(A full house is a hand consisting of three of one rank and two of another. For instance, three kings and two aces. First, find how many three-of-a-kinds you can get. Then, multiply your result by how many pairs are left. Don't forget: there are 13 different ranks.)

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