There are $10$ points in a plane,out of which $6$ are collinear. If $N$ is the total number of triangles formed by joining these points,then $N=$

The number of triangles whose vertices are the points $(x, y)$ in the $XY$-plane with integer coordinates satisfying $0 \leq x \leq 4$ and $0 \leq y \leq 4$ is:

The number of diagonals in a regular polygon of $100$ sides is

Ten points lie in a plane such that no three of them are collinear. The number of lines passing through exactly two of these points and dividing the plane into two regions,each containing four of the remaining points,is

How many triangles can be drawn by means of $9$ non-collinear points?

If four points are taken on each of three parallel lines in a plane,then the maximum number of triangles formed with these points is