There are 10 points on a plane of which no three points are collinear. If lines are formed joining these points, find the maximum points of intersection of these lines.

Explanation

Two points are required to form a line. Then, the number of lines is equal to the number of ways two points are selected i.e., `.^(10)C_(2)=45`.
Now, two lines intersect at one point. Hence, the number of points of intersection of lines is `.^(45)C_(2)`.