Some of the vertices of a convex n-gon are connected by segments, such that any two of them have no common interior point. Prove that, for any n points in general position, there exists a one-to-one correspondence between the points and the vertices of the n gon, such that any two segments between the points, corresponding to the respective segments from the n gon, have no common interior point. inductioncombinatorial geometrycombinatorics proposedcombinatorics