There are 6 people including Carl and John. In how many ways can they arrange such that at least three people will be behind John and Carl?

Question

There are 6 people including Carl and John. In how many ways can they arrange such that at least three people will be behind John and Carl?

I have no clue about what to do right now. Could you assist me?

Regards

Answer 1

From the first three positions choose $2$ to put J. and C. there and then arrange the rest of them. Don't forget we can swap J. and C. So the answer is $${3\choose 2}\cdot 4!\cdot 2$$