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      Question

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

      start with a vowel but end with a consonant?
      A 216 Correct Answer Incorrect Answer
      B 144 Correct Answer Incorrect Answer
      C 120 Correct Answer Incorrect Answer
      D 192 Correct Answer Incorrect Answer

      Solution

      The word RELIAN has three vowels – E, I, A.
      If a word starts and ends with a vowel:
      3P2 = 3 × 2 = 6
      Remaining 4 letters → 4! = 24
      Total = 6 × 24 = 144

      Now, to count those that start with a vowel but end with a consonant:
      Start: E, I, A → 3 ways
      End: R, L, N → 3 ways
      Middle 4 letters → 4! = 24

      So total = 3 × 3 × 24 = 216

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