I am new to learning combinatorics and I am having trouble with this problem.
There is a round table that rotates with 8 seats. Only 7 people are going to be sitting around this table. 2 of the 7 people are brothers and it is required that there are two people seated in between them (one person and the empty chair is not sufficient). How many ways can they be seated, up to rotation?
I know this is a problem involving permutations, but having that extra empty chair is throwing me off and I cannot wrap my head around this problem. And advice would be great! Thank you!