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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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