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    Question

    Find the number of words that can be formed by using all

    letters of the word 'LAPTOP', if order of vowels remains same.
    A 360 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 240 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total words “LAPTOP”= 6 Number of vowels (A, O) = 2 But in these, we cannot change the order of vowels. Suppose the required ways be 'n' multiplied by 2! ways with 'n' must be given 6! => 2! × n = 6! => n = 360 ways

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