How many triangles can be obtained by joining 12 points, four of which are collinear?
How many triangles can be obtained by joining 12 points, four of which are collinear?

Answer : 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