# Seating six people at a round table, permutation question

How many ways are there of seating six people at a round table so that two specific people sit together?

I think it is a permuation question but not 100% sure.

Thanks

• @JonhyHubeetto You can arrange A,B,C,D,X in $5!$ ways in a line, but not around a circle. For arranging around a circle however we consider ABCDX to be the same arrangement as BCDXA as well as CDXAB, DXABC, and XABCD. So, reiterating what I said earlier, you designate one person as special, say A. You seat them first, and then arrange the rest of the people in the remaining seats. This removes the difficulty of having to deal with the multiple possible representations for the same event. – JMoravitz Nov 15 '15 at 1:11