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 :
Solution
<p>Lets arrange the letters of OUGHT in alphabetical
order.
<br/><br/>G, H, O, T, U</p>
<br/>Words starting with
<br/><br/>$$
\begin{aligned}
& \mathrm{G}----\rightarrow 4 ! \\\\
& \mathrm{H}----\rightarrow 4 ! \\\\
& \mathrm{O}----\rightarrow 4 !
\end{aligned}
$$
<br/><br/>$\mathrm{T} \,\mathrm{G}---\rightarrow 3$ !
<br/><br/>T H $---\rightarrow 3$ !
<br/><br/>T O $\mathrm{G}--\rightarrow 2$ !
<br/><br/>T O H $--\rightarrow 2$ !
<br/><br/>T O U G H $\rightarrow 1$ !
<br/>____________________________
<br/>Total = 89
About this question
Subject: Mathematics · Chapter: Permutations and Combinations · Topic: Fundamental Counting Principle
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