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      Question

      Quantity I – In how many ways letters of MOBILE

      can be arranged when vowels are always together. Quantity II – In how many ways letters of MONDAY can be arranged when vowels are not together. In each of the following questions, read the following questions, read the given statements and compare given two quantities on its basis:
      A Quantity I > Quantity II Correct Answer Incorrect Answer
      B Quantity I < Quantity II Correct Answer Incorrect Answer
      C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
      D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
      E Quantity I = Quantity II Correct Answer Incorrect Answer

      Solution

      Quantity I: Required no. of ways = 3! × 4! = 6 × 24 = 144 Quantity II. Total no. of ways = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720 No. of ways when vowels are always together = 2! × 5! = 2 × 120 = 240 No. of ways when vowels are not together = 720 – 240 = 480 ∴ Quantity I < Quantity II.

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