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Question

The number of different ways in which the letters of the word "YOGESH" can be placed in 8 boxes.


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Solution

Given, the word YOGESH

The total number of ways in which the rows can be filled=8C6=28 ways

The number of different ways in which the letters of the word "YOGESH" can be placed in 8 boxes.

Now, as per the given figure, there will be two cases in which a row will be empty.

So, the ways in which no row is empty =282=26

YOGESH can be arranged in 6 selected places in 6! ways

So, the total number of ways of placing =26×6!


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