The given region are as
The points inside region are
{(2,1),(2,−1),(2,2),(2,−2),(2,3),(2,−3),(2,0),(1,1),(1,−1),(1,2),(1,−2), (1,0)}.
Total number of ways to select three points
=‌12C3=220Required number of triangle
=4×‌7C1+9×‌5C1=73Points are taken such a way that distance between two points are multiple of 2 .