Find all such positive integers $n\geq2$ that there exists a set of n points on a plane, every one of which lies outside of some circle containing all the other points and having the center in one of these points.
Could you please help me? I don't even understand how am I supposed to create such a circle... As "every one of which lies outside of some circle", how, at the same time, the circle can contain "all the other points"?