Eulerian Numbers

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Multiple Choice

What is the definition of Eulerian numbers?

  1. The number of permutations of n elements that have exactly k inversions.
  2. The number of permutations of n elements that have no inversions.
  3. The number of permutations of n elements that have exactly k fixed points.
  4. The number of permutations of n elements that have no fixed points.
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