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How many possible arrangements are there for a deck of 52 playing cards? (Consider only the order of the cards, and not whether they are

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How many possible arrangements are there for a deck of 52 playing cards? (Consider only the order of the cards, and not whether they are turned upside-down.) Suppose you start with a sorted deck and shuffle it repeatedly, so that all arrangements become "accessible." How much entropy do you create in the process?

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