If the letters of the word MATHEMATICS are arranged arbitrarily, the probability that \( \mathrm....

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If the letters of the word MATHEMATICS are
\( \mathrm{P} \)
arranged arbitrarily, the probability that \( \mathrm{C} \) comes
W
before \( \mathrm{E}, \mathrm{E} \) before \( \mathrm{H}, \mathrm{H} \) before \( \mathrm{I} \) and \( \mathrm{I} \) before \( \mathrm{S} \) is
(1) \( \frac{1}{75} \)
(2) \( \frac{1}{24} \)
(3) \( \frac{1}{120} \)
(4) \( \frac{1}{7920} \)



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