There are 5 points \( P_1, P_2, P_3, P_4, P_5 \) on the side \( AB \), excluding \( A \) and \( B \), of a triangle \( \triangle ABC \). Similarly, there are 6 points \( P_6, P_7, \dots, P_{11} \) on the side \( BC \) and 7 points \( P_{12}, P_{13}, \dots, P_{18} \) on the side \( CA \) of the triangle.The number of triangles that can be formed using the points \( P_1, P_2, \dots, P_{18} \) as vertices, is: