Question
From the letters of BALLOON, how many “words” can
be formed if all the vowels stay together?Solution
ATQ, Vowels = A, O, O Consonants = B, L, L, N Items = 1 (vowel block) + 4 = 5 (with L repeated twice) Arrangements = 5! / 2! = 120 / 2 = 60 Arrangements of vowels = 3! / 2! = 6 / 2 = 3 Total words = 60 Ă— 3 = 180
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