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Question

In the word HARYANA, how many words can be formed with letters H and N are together?

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Solution

Considering H and N together we have 72+1=6 letters out of which three are alike i.e, A's and others are each of its own kind. These six letters can be arranged in 6!3! ways. But Hand' N can be arranged amongst themselves in 2! ways.
Hence, the required number of words =6!3!×2!
=120×2=240.

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