Question 8
Eleven candidates have been chosen for an organization's executive committee. Some pairs are considered close to one another, through family, friendship, work and so on. In the following picture, line segments represent these close relationships: two people are close when they are joined by a segment.
To ensure impartiality, the committee must not contain two people who are close to one another.
What is the largest possible number of committee members?
To ensure impartiality, the committee must not contain two people who are close to one another.
What is the largest possible number of committee members?