Answer:
10
Step-by-step explanation:
Given that:
Six people are sitting around a circular table
and each person has either blue or green eyes.
So; we are told to represent x as the number of people sitting next to at least one blue-eyed person
and y be the number of people sitting next to at least one green-eyed person.
The objective is to find how many possible ordered pairs (x,y) are there?
The ordered pairs (x,y) i.e ( blue , green) are : ( (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3) ).
The above proves the ordered pairs for at least as blue as green.
Now; to determine the ordered pairs for as many green as blue, we will require to go the opposite direction by reversing the values; so we can arrive at a new values of 10 possible outcomes which are as follows:
(6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)
