Derangements of four items

MediumCombinatorics~4m

How many permutations of {1,2,3,4}\{1,2,3,4\} leave no element in its original position (derangements)?

Show hints (2)+
  1. Use the derangement formula or inclusion–exclusion.
  2. D4=9D_4 = 9.

Answer

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9

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