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

nonuser · Answer 1 · 2018-10-28T18:47:39.073

3

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 $${3\choose 2}\cdot 4!\cdot 2$$

edited Oct 28 '18 at 18:47

answered Oct 28 '18 at 18:42

nonuser

90,026

I did not get how you got ${3\choose 2}$. – Mark Oct 28 '18 at 18:46
1

If you want to have at least 3 people behind J. and C. then they have to be on two places among first three places. – nonuser Oct 28 '18 at 18:48

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?

1 Answers1