KöMaL 2017 B4915

Given any points $A_1$, $A_2$, $A_3$, $A_4$, $A_5$ and $P$ in the plane, let $k_i$ denote the number of ways it is possible to select $i$ points out of $A_1$, $A_2$, $A_3$, $A_4$, $A_5$ such that the convex hull of the selected points should contain $P$. Show that $k_3=k_4$.