3 points are chosen at a time to form 1 triangle.

If no 3 points are collinear then the no. of $\Delta^s$ = $^{12}C_3$

Since 7 points are collinear, no triangle can be formed using these 7 points.

$\therefore$ The no. of $\Delta^s=^{12}C_3-^7C_3=220-35=185$