Suppose a triangle, \( PQR \), has 4 marked points on line segment \( PQ \), 3 points on \( QR \), and 6 points on side \( PR \). These points are placed randomly along each line segment. Suppose all possible lines connecting these 13 points are drawn. A line cannot be drawn between 2 points on the same side of the triangle. How many points of intersection are there that lie within the triangle?