A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. How many 7-card hands are possible with 2 hearts, 2 diamonds, 2 clubs, and 1 spade? Assume that the order of the cards does not matter, and use the formula for combinations to find your answer. A - 474,552 B - 6,169,176 C-49,353,408 D-133,784,560

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Mathematics

Baron Coffey

8 November, 05:41

A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. How many 7-card hands are possible with 2 hearts, 2 diamonds, 2 clubs, and 1 spade? Assume that the order of the cards does not matter, and use the formula for combinations to find your answer. A - 474,552 B - 6,169,176 C-49,353,408 D-133,784,560

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Dominic Sloan · Answer 1

Apr 21, 2001 - A. How many 5 card hands are possible? Answer: Since the order of the cards in the hand does not matter the number of hands is. C52,5 = 2, 598, 960. B. What is the probability that all thecards in the hand drawn are hearts? Answer: There are 13 hearts in the deck, so the number of 5 cards hands with all.