Let ABC be a triangle.Take n points on the side AB (different from A and B ) and connect all of them by straight lines to the vertex C. Similarly , take n points on the side AC and connect them to B.In how many regions is the triangle ABC partitioned by these lines ?
Further , take n points on the side BC also join them with A . Assume that three straight lines meet at a point other than A,B and C.In how many regions is the triangle partitioned now ?