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How many full house combinations are there in poker?

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There are 4 ways to choose 3 cards of the same rank (set).
There are 6 ways to choose 2 cards of the same rank (pair).
There are 13 ranks from which to get the the set, and then only 12 remain for the pair. So there are: (4*13) * (6*12) = 3744 different full house combinations.

Since the suit doesn't matter however, there are only 13*12 = 156 distinctly valued full houses.
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