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What is the number of injective functions f from set {1,2,....,2n} to set {1,2,....,2n} so that f(x) >= x for all the 1<= x <= n?

What is the number of injective functions f from set {1,2,....,2n} to set {1,2,....,2n} so that f(x) >= x for all the 1<= x <= n?

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 15RP
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What is the number of injective functions f from set {1,2,....,2n} to set {1,2,....,2n} so that f(x) >= x for all the 1<= x <= n?

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