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    Question

    In each of the following questions, read the following questions, read the given statements and compare given two quantities on its basis:

    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.
    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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