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

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! × 3!

(b) 4!

(c) 3! × 3!

(d) none of these.

Solution:

(a) 4! × 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.

∴ Total number of arrangements =  4! × 3!