# How many ways can 6 people sit on a bench if 3 of them have to sit side by side?

**Solution:**

From the question, it is given that out of 6 people, 3 of them have to sit side by side on a bench.

Let us assume that, 3 people sitting together as one.

Then, we get

= 3 + 1 = 4 people to arrange.

So, they have arranged in 4! ways,

4! = 4 × 3 × 2 × 1 = 24 ways.

Also, the 3 people themselves can be arranged in 3! ways, we get,

3! = 3 × 2 × 1 = 6 ways.

Total number of ways = 4! × 3! = 24 × 6 = 144 ways.

Therefore, 6 people can sit on a bench if 3 of them have to sit side by side in 144 ways.

## How many ways can 6 people sit on a bench if 3 of them have to sit side by side?

**Summary:**

6 people can sit on a bench if 3 of them have to sit side by side in 144 ways.