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A derangement is a permutation [1], [2], , [n] of the set { 1 , 2, 3, , n} such that [i]i, for all 1-1,

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A derangement is a permutation [1], [2], , [n] of the set { 1 , 2, 3, , n} such that [i]i, for all 1-1, 2, . . . , n. Let Dn denote the number of derangements of an n-element set. Prove the recurrence relation D (n - I)(Dn-1 +Dn-2). Then, use this recurrence relation to develop an algorithm to generate all the de- rangements

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