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 :

Question

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 : (A) 89 (B) 84 (C) 86 (D) 79

Tardigrade Admin · Accepted Answer

Lets arrange the letters of OUGHT in alphabetical order.
G, H, O, T, U
Words starting with

G - - - - \to 4

!

H - - - - \to 4

!

O - - - - \to 4

!

TG - - - \to 3

!

T H - - - ⟶ 3

!

TOG - - \to 2

!

TO H - - \to 2

!

TO U G H \to 1

!
Total

= 89

Q. 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 :

89

84

86

79

Lets arrange the letters of OUGHT in alphabetical order. G, H, O, T, U Words starting with G−−−−→4 ! H−−−−→4 ! O−−−−→4 ! TG−−−→3 ! TH−−−⟶3 ! TOG−−→2 ! TOH−−→2 ! TOUGH→1 ! Total =89

Lets arrange the letters of OUGHT in alphabetical order.
G, H, O, T, U
Words starting with
$G - - - - \to 4$ !
$H - - - - \to 4$ !
$O - - - - \to 4$ !
$TG - - - \to 3$ !
$T H - - - ⟶ 3$ !
$TOG - - \to 2$ !
$TO H - - \to 2$ !
$TO U G H \to 1$ !
Total $= 89$