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      Question

      In how many different ways can the letter of the word

      WELCOME is arranged so that vowels always occur together?
      A 380 Correct Answer Incorrect Answer
      B 360 Correct Answer Incorrect Answer
      C 350 Correct Answer Incorrect Answer
      D 420 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Number of letters in ‘WELCOME’ = 7 Number of vowels = (E, O, E) = 3!/2! Number of consonants = (W, L, C, M) = 4! Now, consider the number of vowels together as one and vowels can be arranged in 3! So total number of ways = 5! × (3!/2!) = 360

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