Question

The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is

• A. $4!\times 3!$
• B. 4!
• C. $3!\times 3!$
• D. None of these

Answer 1

The correct option is A

$4!\times 3!$

According to the question, 3 men have to be 'consecutive' means that they have to be considered as a single man.

But, these 3 men can be arranged among themselves in 3! ways.

And, the remaining 3 men, along with this group, can be arranged among themselves in 4! ways.

$\therefore$ Total number of arrangements = $4!\times 3!$