Question
Form all possible words from ASSESSMENT with the
condition that the vowels are always together. How many are there?Solution
ATQ, Vowels = A, E, E Consonants = S, S, S, S, M, N, T Items = 1 (vowel block) + 7 = 8 (S four times) Arrangements = 8! / 4! = 40320 / 24 = 1680 Arrangements of vowels = 3! / 2! = 6 / 2 = 3 Total words = 1680 × 3 = 5040
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