The letters of the word TOUGH are written in all possible orders and these words are written out as in a dictionary, then the rank of the word TOUGH is

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​ Rank = ( 4 ! × 3 ) + ( 3 ! × 2 ) + ( 2 ! × 2 ) + 1 = 72 + 12 + 4 + 1 = 89 ​

Mathematics - Binomial Theorem Question with Solution | TestHub

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