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      Question

      How many arrangements of the word COMMITTEE are

      possible if the vowels are always together?
      A 2150 Correct Answer Incorrect Answer
      B 2192 Correct Answer Incorrect Answer
      C 2168 Correct Answer Incorrect Answer
      D 2160 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Vowels = O, I, E, E Consonants = C, M, M, T, T Items = 1 (vowel block) + 5 = 6 (M twice, T twice) Arrangements = 6! / (2! Γ— 2!) = 720 / 4 = 180 Arrangements of vowels = 4! / 2! = 24 / 2 = 12 Total words = 180 Γ— 12 = 2160

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