Question
Count the number of “words” from MISSISSIPPI when
all the vowels occur together.Solution
ATQ, Vowels = I, I, I, I Consonants = M, S, S, S, S, P, P Items = 1 (vowel block) + 7 = 8 (S four times, P twice) Arrangements = 8! / (4! × 2!) = 40320 / 48 = 840 Arrangements of vowels = 4! / 4! = 1 Total words = 840 × 1 = 840
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