Six people are sitting around a circular table, and each person has either blue eyes or green eyes. Let be the number of people sitting next to at least one blue-eyed person, and let be the number of people sitting next to at least one green-eyed person. How many possible ordered pairs (\((x, y)\) are there? (For example, \((x,y) = (6,0)\) if all six people have blue eyes, since all six people are sitting next to a blue-eyed person, and zero people are sitting next to a green-eyed person.)
I'm somewhat confused on how to approach this question, could someone please guide me through it?
Thanks :D