Use the inclusion-exclusion principle: Consider the set of 21 consonants and 5 vowels. How many distinct arrangement of 8 letters are there such that each letter appears exactly twice and no two consecutive letters are the same. For example, gghhmmww or kbbdkddee are not ok, but acacdgdg is.

Use the inclusion-exclusion principle: Consider the set of 21 consonants and 5 vowels. How many distinct arrangement of 8 letters are there such that each letter appears exactly twice and no two consecutive letters are the same. For example, gghhmmww or kbbdkddee are not ok, but acacdgdg is.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CR: Chapter Review

Problem 2CC

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Question

Use the inclusion-exclusion principle:

Consider the set of 21 consonants and 5 vowels. How many distinct arrangement of 8 letters are there such that each letter appears exactly twice and no two consecutive letters are the same. For example, gghhmmww or kbbdkddee are not ok, but acacdgdg is.

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