Let ABC be a triangle. Consider four points p_1,p_2,p_3,p_4 on the side AB, five points p_5,p_6,p_7,p_8,p_9...

Question

Let ABC be a triangle. Consider four points p_1,p_2,p_3,p_4 on the side AB, five points p_5,p_6,p_7,p_8,p_9 on the side BC and four points p_ 10 ,p_ 11 ,p_ 12 ,p_ 13 on the side AC. None of these points is a vertex of the triangle ABC. Then the total number of pentagons, that can be formed by taking all the vertices from the points p_1,p_2, ,p_ 13 , is _____.

Accepted Answer

660

JEE Main 2026 Mathematics question

Solution