Question
How many distinct arrangements of DAUGHTER are there if
the vowels remain together?Solution
ATQ, Vowels = A, U, E Consonants = D, G, H, T, R (all distinct) Items = 1 (vowel block) + 5 = 6 (all distinct) Arrangements = 6! = 720 Arrangements of vowels = 3! = 6 Total words = 720 × 6 = 4320
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