Permutation Combination Question 10

Question 10 - 29 January - Shift 2

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 :

(1) 89

(2) 84

(3) 86

(4) 79

Show Answer

Answer: (1)

Solution:

Formula: Non-Consecutive Selection

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 $3$ !

$TH\to 3$ !

TOG $\to 2$ !

TOOH $\to 2$ !

TOUGH $\to 1$ !

Total $=89$