For a set
of five points in the plane, no three of them being collinear, let
be the numbers of acute triangles formed by vertices in
.
Find the maximum value of
over all such sets
.
%V0
For a set $P$ of five points in the plane, no three of them being collinear, let $s(P)$ be the numbers of acute triangles formed by vertices in $P$.
Find the maximum value of $s(P)$ over all such sets $P$.
Školjka