Question 88
In a certain club, some pairs of members are friends. Given $k \ge 3$, we say that a club is *k*-good if every group of *k* members can be seated around a round table such that every two neighbors are friends. Prove that if a club is 6-*good* then it is 7-*good*.
(Josef Tkadlec)
(Josef Tkadlec)