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OpenStudy (anonymous):
Five cards are chosen at random from an ordinary deck of 52 cards. How many different hands will contain no clubs?
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OpenStudy (kropot72):
There are 13 cards in the suit of clubs. Therefore there are 52 - 13 = 39 cards that are not clubs. The number of different combinations of the hearts, diamonds and spades in five card hands is 39C5.
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