Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.1 - The Basics of Counting - Exercises - Page 398: 65

Answer

18 arrangements

Work Step by Step

Number of ways in which 'b' follows 'a' immediately = 3! = 6 This is done by clubbing 'a' and 'b' together as 'ab' and using finding the total permutations with 'c' and 'd'. Total number of ways to arrange letters a,b,c,d = 4! = 24 Ways in which 'b' does not follow 'a' = 24-6 = 18
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