Q51 / 125 · BITSAT 2009 · Mathematics

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

  • A
    120
  • B
    88
  • Correct answer
    C
    89
  • D
    90

Solution

\(\begin{aligned} & \text { Rank }=(4 ! \times 3)+(3 ! \times 2)+(2 ! \times 2)+1 \\ & =72+12+4+1=89 \end{aligned}\)

Hence, the correct answer is option: 'C'.

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