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If the letters of the word MATHEMATICS are arranged  arbitrarily, the probability that C comes before E, E before  H,H before I and I before S is

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a
175
b
124
c
1120
d
1720

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detailed solution

Correct option is C

The total numbers of arrangements is 11!2!2!2!=11!8 The number of arrangements in which C, E, H, I, S appear in  that order 11C56!2!2!2!=11!8⋅5!∴ Required Probability =11!8⋅5!11!8=1120


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