How many triangles can be obtained by joining 12 points, four of which are collinear?
Total number of points on plane = 12
Triangles can be formed from these points = 12C3
= 220
But 4 points are colinear, the number of triangles can be formed from these points
= 4C3
= 4
We need to subtract 4 from 220 because in the formation of triangles from 4 colinear points are added there.
So no of triangle formed is = 220-4
= 216