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Q: How many different ways can a deck of cards be arranged?

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The first card can be any card in the deck, the second can be any one of the remaining cards, and so on. 52 * 51 * 50 * 49 * 48 = 311,875200 Since we do not care about the order of the cards, this is reduced. 5 cards can be arranged in (5!) 120 different ways. 311,875200 / 120 = 2,598960 possible hands. ■

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