SOLUTION: An ordinary deck of cards consists of four suits: clubs, diamonds, hearts and spades, of 13 denominations each. How many five-card poker hands selected from an ordinary 52-card dec

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Question 1043074: An ordinary deck of cards consists of four suits: clubs, diamonds, hearts and spades, of 13 denominations each. How many five-card poker hands selected from an ordinary 52-card deck are there?
and How many poker hands contain cards of all the same suit

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
An ordinary deck of cards consists of four suits: clubs, diamonds, hearts and spades, of 13 denominations each.
How many five-card poker hands selected from an ordinary 52-card deck are there?
Ans:: 52C5 = 2,598,960
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How many poker hands contain cards of all the same suit
Pick a suit:: 4 ways
Pick a hand of 5 cards from that suit:: 13C5 = 1287
Ans: 4*1287 = 5148
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Cheers,
Stan H.
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