typing clear i will give 5 upvotes For each n E N, let an be the number of permuations Snwhose cube is the identity permutation. Provecombinatorially that An+3 = an+2 + (n = 2)(n+1)an forevery n E N.

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Answered: For each n E N, let an be the number of…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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For each n E N, let an be the number of permuations Sn whose cube is the identity permutation. Prove combinatorially that An+3 = an+2 + (n = 2)(n+1)an for every n E N.