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    Question

    One five letter word is to be formed taking all letters

    – U, Z, M, O and Q. What is the probability that this formed word will contain all vowels together? 
    A 5/12 Correct Answer Incorrect Answer
    B 7/12 Correct Answer Incorrect Answer
    C 3/5 Correct Answer Incorrect Answer
    D 2/5 Correct Answer Incorrect Answer
    E 3/10 Correct Answer Incorrect Answer

    Solution

    Total words that can be formed is 5!= 120 Now, vowels together Take: Z M Q and UO. So, their arrangement is 4!× 2! = 48 So, required probability = 48/120=2/5

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