In how many ways can we seat 6 people at a round table if John and Sam insist on sitting next to each other? (Two seatings are equivalent if one is a rotation of the other.)



Mr.Owl  Oct 31, 2017

2+0 Answers


6 people

there is no head of the tabel so the first person is just a place marker so there are really only 5 people whose positions matter.

But John and sam are tied together so thet are the equaivalent of one person.

so that is only 4 people.


4!     *2   because it could be john, sam or sam, john. 


2*3*4*2 = 48 permutations.

Melody  Oct 31, 2017
edited by Guest  Oct 31, 2017

Thanks a lot! That really helps :-)

Mr.Owl  Oct 31, 2017

14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details