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      Question

      How many four-letter words without repetition having

      exactly two vowels can be formed by using the letters of the word "TRIANGLE"?
      A 648 Correct Answer Incorrect Answer
      B 696 Correct Answer Incorrect Answer
      C 720 Correct Answer Incorrect Answer
      D 756 Correct Answer Incorrect Answer
      E 792 Correct Answer Incorrect Answer

      Solution

      "TRIANGLE" has 5 consonants and 3 vowels.
      Number of ways to select the letters = 3C2 ร— 5C2 = 3 ร— 10 = 30
      Arrangements of 4 letters = 4! = 24
      Total number of words formed = 30 ร— 24 = 720

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