SOLUTION: Consider a standard deck of 52 cards having 13 clubs, 13 diamonds, 13 hearts, and 13 spades. If five cards of the same suit are considered a flush hand, how many such hands exist i

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Question 339055: Consider a standard deck of 52 cards having 13 clubs, 13 diamonds, 13 hearts, and 13 spades. If five cards of the same suit are considered a flush hand, how many such hands exist in the deck?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
You need to choose 1 suit from the 4 suits: C(4,1)
and 5 cards from the same suit: C(13,5)
C(13,5)*C(4,1)=5148
This includes straight flushes as well.
There are 40 straight flushes (including the 4 royal flushes), so if you want to exclude those the answer is 5108.