Question

the number of ways in which 6 men can be arranged in a row so that the particular 3 men sit together, is

Answer 1

Given:

Total number of people = 6

To find:

The probability that particular three men always sit together​.

Solution:

The total possibility of arranging 6 people = 6!

Let's assume the group of three people as a single person, then the total number of people will be 4.

Total possibility to arrange these 4 people = 4!

We can arrange these 3 people within themselves, therefore the probability becomes 4!3!

The required probability = 4! 3! / 6!

= 1/5

Therefore, the required probability is 1/5.