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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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