All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a dictionary. The serial number of the word "GTWENTY" is _________.
Answer (integer)
553
Solution
<p>Words starting with $\mathrm{E}=360$</p>
<p>Words starting with $\mathrm{GE=60}$</p>
<p>Words starting with $\mathrm{GN=60}$</p>
<p>Words starting with $\mathrm{GTE=24}$</p>
<p>Words starting with $\mathrm{GTN=24}$</p>
<p>Words starting with $\mathrm{GTT=24}$</p>
<p>GTWENTY $=1$</p>
<p>Total $=553$</p>
About this question
Subject: Mathematics · Chapter: Permutations and Combinations · Topic: Fundamental Counting Principle
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