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    Question

    The letters of the word MISCHIEF are arranged among

    themselves. What is the probability that word ICE will be contained?
    A 1/63 Correct Answer Incorrect Answer
    B 1/49 Correct Answer Incorrect Answer
    C 1/56 Correct Answer Incorrect Answer
    D 1/35 Correct Answer Incorrect Answer
    E 1/42 Correct Answer Incorrect Answer

    Solution

    The letters of the word MISCHIEF can be arranged among themselves in
    8!/2! ways.
    If ICE is taken together, (ICE) (M) (S) (H) (I) (F)
    The number of arrangements that can be made
    = 6!/2!
    ∴ Required probability = (6!/2!)/(8!/2!) = 1/56

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