f any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to choose from, how many words consist of 5 unique consonants and 3 unique vowels such that no two consecutive letters are vowels?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 1SC: If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
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If any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to choose from, how many words consist of 5 unique consonants and 3 unique vowels such that no two consecutive letters are vowels?

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