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      Question

      Using all the letters of the word CANOER, 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 CANOER has three vowels – A, O, E.
      If a word starts and ends with a vowel: 3P2 = 6 ways
      Remaining 4 letters β†’ 4! = 24
      Total = 6 Γ— 24 = 144

      Start with vowel, end with consonant:
      Start: 3 vowels β†’ A, O, E β†’ 3 ways
      End: C, N, R β†’ 3 ways
      Remaining 4 letters β†’ 4! = 24

      Total = 3 Γ— 3 Γ— 24 = 216

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