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Sonbull [250]
3 years ago
9

How many 5 card hands contain exactly 2 queens

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

There are 4 queens in the deck, hence (4 choose 2) = 4!/(2! (4-2)!) = 6 ways of getting 2 queens.

The other 3 cards in the deck can be any of the remaining 48 non-queens; there are (48 choose 3) = 48!/(3! (48-3)!) = 17,296 ways of getting these.

In total, there are (4 choose 2)*(48 choose 3) = 103,776 total possible hands.

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