A derangement of the set {1,2,...,n} is a permutation that
Chapter 9, Problem 9.125(choose chapter or problem)
A derangement of the set {1,2,...,n} is a permutation that moves every element of the set away from its natural position. Thus 21 is a derangement of {1,2}, and 231 and 312 are derangements of {1,2,3}. For each positive integer n, letdn be the number of derangements of the set {1,2,...,n}. a. Find d1, d2, andd3. b. Find d4. c.H Find a recurrence relation for d1, d2, d3,....
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