7 boys and 3 girls are to be seated in a row. How to calculate the number of ways they can be seated if the 3 girls want to be seated together?

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We have 7 boys and three girls.

But 3 girls should sit together always. So the girls can be taken as one unit.

So now we have 7 boys and 1 unit of girl. Altogether it is 8.

So the ways that can arrange 8 people is 8!.

But we can interchange the positions of three girls while maintaining them together. So arranging three girls can be done in 3! ways.

** So the ways that can arrange boys and girls are **`8!xx3! = 241920`

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