Ten points P1,P2,P3,…,P10 are equally spaced around a circle. They are connected in separate pairs by 5 line segments. How many ways can these line segments be drawn such that at least two pairs of the line segments intersect?

Ten points P1,P2,P3,…,P10 are equally spaced around a circle. They are connected in separate pairs by 5 line segments. How many ways can these line segments be drawn such that at least two pairs of the line segments intersect?