Verified Solution • 2025–26 Session moderate

QJEEM23Ma3cc0: JEE Main 2023 Mathematics - Class 11 JEEM23Ma3cc0 Solution: The letters of the word OUGHT are written in all possible ways…

The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is :

Multiple Choice Options

  • A 79
  • B 84
  • C 89
  • D 86

Step-by-Step Verified Solution

Lets arrange the letters of OUGHT in alphabetical order.

G, H, O, T, U


Words starting with

amp;G−−−−→4!amp;H−−−−→4!amp;O−−−−→4!\begin{aligned}& \mathrm{G}----\rightarrow 4 ! \\\\& \mathrm{H}----\rightarrow 4 ! \\\\& \mathrm{O}----\rightarrow 4 !\end{aligned}

T G−−−→3\mathrm{T} \,\mathrm{G}---\rightarrow 3 !

T H −−−→3---\rightarrow 3 !

T O G−−→2\mathrm{G}--\rightarrow 2 !

T O H −−→2--\rightarrow 2 !

T O U G H →1\rightarrow 1 !
____________________________
Total = 89

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