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Question: Answered & Verified by Expert
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
MathematicsBinomial TheoremBITSATBITSAT 2009
Options:
  • A 120
  • B 88
  • C 89
  • D 90
Solution:
2773 Upvotes Verified Answer
The correct answer is: 89
\(\begin{aligned}
& \text { Rank }=(4 ! \times 3)+(3 ! \times 2)+(2 ! \times 2)+1 \\
& =72+12+4+1=89
\end{aligned}\)

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