5. FRIENDSHIPS A small company has 16 employees. The owner of the company
became concerned that the employees
did not know each other very well. He
decided to make a picture of the
friendships in the company. He placed
16 points on a sheet of paper in such a
way that no 3 were collinear. Each point
represented a different employee. He
then asked each employee who their
friends were and connected two points
with a line segment if they represented
friends.