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    Question

    How many words are formed from the letters of the word

    CHAMPION when vowels (A, I, O) always are together?
    A 4230 Correct Answer Incorrect Answer
    B 4150 Correct Answer Incorrect Answer
    C 4320 Correct Answer Incorrect Answer
    D 4560 Correct Answer Incorrect Answer

    Solution

    There are 8 letters in given word, out of which 3 are vowels and 5 are consonants. If we assume all the vowels as one letter then now (1 + 5) = 6 letters are left which can be put as 6P6 = 6! Places and 3 vowels can be placed on 3 places by 3P3 = 3! Therefore, required number of words = 6! × 3! = 4320

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