Question 478154: How many five-card hands consist of five cards of the same suit?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! there are 13 cards in each suit.
if the suit is clubs, then the possible number of hands would be 13C5 = 1287.
each hand would be different from the other hand, but each hand would contain all clubs.
there are 4 suits in the deck so the total number would be 4 times that.
the total would be equal to 5148.
each hand will be either 5 clubs or 5 spades or 5 hearts or 5 diamonds.
13C5 is equal to 13! / (5! * 8!)
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