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11-19-2008, 02:18 AM
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 A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards.... ...How many different hands? are there consisting of four hearts and one spade?  |
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11-20-2008, 04:06 PM
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| four hearts (13C4) and one spade (13C1):= 13C4*13C1= 13*12*11*10/(4*3*2*1)*13= 9295 hands |
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11-23-2008, 04:20 AM
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| As each time a heart is dealt, the number remaining is one less, so 4 hearts can be dealt 13 x 12 x 11 x 10 = 17160 waysFor each set of 4 hearts, there can be 13 spades. The total number of hands is 13 x 17160 = 223080 |
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