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JEE MATHEMATICS MCQ: PERMUTATIONS

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The letters of the word GHOTU is arranged alphabetically as in a dictionary. The rank of the word TOUGH is

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Correct option: D

89

Option A (

\frac{\pi}{4}\ln 2

) is incorrect. Option B (

\frac{\pi}{2}\ln 2

) is the correct answer because by using the substitution x = 1/t, the integral can be simplified and solved.

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