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 $=89$
