(a) In how many ways can the integers 1, 2, 3, . . . , n be...

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(a) In how many ways can the integers 1, 2, 3, . . . , n be arranged in a line so that none of the patterns 12, 23, 34,..., (n - 1)n occurs?
(b) Show that the result in part (a) equals dn-1 + dn. (dn = the number of derangements of 1, 2, 3, ..., n.)

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:37 AM

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(a) In how many ways can the integers 1, 2, 3, . . . , n be...

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a For 1 i n 1 let c i denote the occurrence of the pattern ii ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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