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      Question

      Using all the letters of the word IMPACT, how many words

      start with a vowel but end with a consonant?
      A 192 Correct Answer Incorrect Answer
      B 108 Correct Answer Incorrect Answer
      C 160 Correct Answer Incorrect Answer
      D 120 Correct Answer Incorrect Answer

      Solution

      The word IMPACT has two vowels – I and A.
      If a word starts and ends with a vowel, total arrangements =
      2P2 = 2 Ă— 1 = 2
      Remaining 4 letters → 4! = 24
      Total = 2 Ă— 24 = 48

      If a word starts with a vowel and ends with a consonant,
      First letter: I or A → 2 ways
      Last letter: M, P, C, T → 4 ways
      Middle 4 letters: 4! = 24 ways

      So total = 2 Ă— 4 Ă— 24 = 192

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