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In how many ways can 11 persons be arranged in a row such that 3 particular persons should always be together?

9!×3!
9!
11!
11!×3!
Explanation:

Given that three particular persons should always be together. Hence, just group these three persons together and consider as a single person.

Therefore we can take total number of persons as 9. These 9 persons can be arranged in 9!ways.

We had grouped three persons together. These three persons can be arranged among themselves in 3!ways.

Hence, required number of ways

=9!×3!

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