Related Questions

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?
Find the number of possible triangles using points on the sides of any triangle ABC having “a” points on side BC, “b” points on side AC, “c” points on side AB excluding the points at vertices.