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This question refers to a standard deck of playing cards. If you are unfamiliar with playing cards, there is an explanation in Probability of an event' section under the heading Standard playing cards. A five-card hand is just a subset of 5 cards from a deck of 52 cards. How many different five-card hands are there from a standard deck of 52 playing cards? How many five-card hands have exactly two hearts? How many five-card hands are made entirely of hearts and diamonds? How many five-card hands have four cards of the same rank? A full house" is a five-card hand that has two cards of the same rank and three cards of the same rank. For example, (queen of hearts, queen of spades, 8 of diamonds, 8 of spades, 8 of clubs). How many five-card hands contain a full house? How many five-card hands do not have any two cards of the same rank?

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This question refers to a standard deck of playing cards. If you are unfamiliar with playing cards,...

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