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What is the number of derangements of size k from the set {1,2,...n} to the set {1,2,...n} so that f(x) != x exactly k times with 1 <= k <= n

What is the number of derangements of size k from the set {1,2,...n} to the set {1,2,...n} so that f(x) != x exactly k times with 1 <= k <= n

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 24PE
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What is the number of derangements of size k from the set {1,2,...n} to the set {1,2,...n} so that f(x) != x exactly k times with 1 <= k <= n

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