Question 79
Some of the vertices of a convex $n$-gon are connected by segments such that any two of them have no a common interior point. Prove that for any $n$ points in general position (i.e., any three of them are not collinear) there is an one-to-one correspondence between the points and the vertices of the $n$-gon such that any two segments corresponding to the respective segments from the $n$-gon have no a common interior point.