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Mathematics, 21.01.2020 20:31 sylvusia

Compute the number of ways to deal each of the following five-card hands in poker. 1. straight: the values of the cards form a sequence of consecutive integers. a jack has value 11, a queen 12, and a king 13. an ace may have a value of 1 or 14, so a 2 3 4 5 and 10 j q k a are both straights, but k a 2 3 4 is not. furthermore, the cards in a straight cannot all be of the same suit (a flush). 2. flush: all five cards have the same suit (but not in addition a straight). 3. straight flush: both a straight and a flush. make sure that your counts for straights and flushes do not include the straight flushes. 4. four of a kind. 5. two distinct matching pairs (but not a full house). 6. exactly one matching pair (but no three of a kind). 7. at least one card from each suit. at least one card from each suit, but no two values matching. 8. three cards of one suit, and the other two of another suit, like three hearts and two spades.

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