Question

A group of ten people are attending the movies together. (a) Two of the ten insist on sitting side-by-side. In how many ways can the ten be seated together in a row

Answer 1

For now, we'll look at the two people who have to set next to each other as one person. So, there are nine people who are sitting in a row. These nine people can sit together in a total of 9! ways.

However, there are two ways for those two people to sit next to each other.

So, the correct answer is 2!*9!, or 725760.

hopefully this is correct :)

(this is assuming that front to back vs back to front are two different things)