There are 5 points $\mathrm{P}_1, \mathrm{P}_2, \mathrm{P}_3, \mathrm{P}_4, \mathrm{P}_5$ on the side AB , excluding A and B , of a triangle ABC . Similarly there are 6 points $P_6, P_7, \ldots, P_{11}$ on the side $B C$ and 7 points $P_{12}, P_{13}, \ldots, P_{18}$ on the side $C A$ of the triangle. The number of triangles, that can be formed using the points $P_1, P_2, \ldots, P_{18}$ as vertices, is i