Poker Card
How many different 5 card Poker Hands would contain only cards of a single suit?
I know there are 2,598,960 different 5 card poker hands but I don’t know how many would only contain a single suit.
There are 4 suits, and for each suit, 13 cards. You’re choosing 5 of them, so 4(13C5) = 5148 hands.
You can also solve this by looking up the frequency of the types of hands in poker. What you want is the number of flushes plus straight flushes plus royal flushes.
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June 29, 2010 7:07 pm 
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