Set Theory and Combinatorics How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o, u appear consecutively and the last letter in the ordering is not a vowel? (Hint: Every vowel appears to the left of a consonant.)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 60E
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Set Theory and Combinatorics
How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i,
o, u appear consecutively and the last letter in the ordering is not a vowel? (Hint: Every vowel
appears to the left of a consonant.)
Transcribed Image Text:Set Theory and Combinatorics How many ways are there to order the 26 letters of the alphabet so that no two of the vowels a, e, i, o, u appear consecutively and the last letter in the ordering is not a vowel? (Hint: Every vowel appears to the left of a consonant.)
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