*How many permutations*
Suppose that a₁, a₂, a₃, a₄, a₅ is a permutation of 1, 2, 3, 4, 5 satisfying that for any i = 1, 2, 3, 4, each permutation of a₁, a₂, a₃,......., aᵢ is not a permutation of 1, 2,......, i. Find the number of these permutations
The answer is 71.
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