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You Have Ten Cards, Numbered 1 Through 10

Question 61

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You have ten cards, numbered 1 through 10. In how many ways can you put the ten cards in a row so that card i is not in spot i, for i = 1, 2, . . . , 10?

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\[D _ { 10 } = 10 ! - \left( \begin{arra...

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