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    Question

    In how many different ways can the letters of the word “DISCHARGE” be arranged in such a way that the vowels always come together?

    A 20860 Correct Answer Incorrect Answer
    B 30240 Correct Answer Incorrect Answer
    C 70520 Correct Answer Incorrect Answer
    D 20880 Correct Answer Incorrect Answer
    E 32280 Correct Answer Incorrect Answer

    Solution

    The arrangement is made in such a way that the vowels always come together i.e., DSCHRG(IAE) Considering Vowels as one letter, 7 different letters can be arranged in 7! Ways = 5040 The Vowels “IAE” can be arranged themselves in 3! Ways = 6 Therefore, required number of ways = 5040 × 6 = 30240

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