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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 "SEMINAR"?
      A 408 Correct Answer Incorrect Answer
      B 420 Correct Answer Incorrect Answer
      C 432 Correct Answer Incorrect Answer
      D 444 Correct Answer Incorrect Answer
      E 456 Correct Answer Incorrect Answer

      Solution

      "SEMINAR" has 4 consonants and 3 vowels.
      Number of ways to select the letters = 3C2 × 4C2 = 3 × 6 = 18
      Arrangements of 4 letters = 4! = 24
      Total number of words formed = 18 × 24 = 432

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