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Poker Hands
In the game of poker, a hand consists of five cards drawn from a deck of 52. The best hand is the royal flush. It consists of the ace. king, queen, jack, and ten of one suit. There are only four possible royal flushes. Find the number of possible hands of each of the following types. Explain your reasoning. The hands are listed in order from the least to the most common. Of course, a hand in this list beats any hand that is below it in this list.
a) Straight flush (five cards in a sequence in the same suit, but not a royal flush)
b) Four of a kind (for example, four kings or four twos)
c) Full house (three of a kind together with a pair)
d) Flush (five cards in a single suit, but not a straight)
e) Three of a kind
f) Two pairs
g) One pair
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College Algebra (6th Edition)
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