Question
The letters of the word MISCHIEF are arranged among
themselves. What is the probability that word ICE will be contained?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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