Suppose three points are located in a plane. There is one line that can be drawn through t...

Suppose three points are located in a plane. There is one line that can be drawn through them if the points are collinear.

If the three points are noncollinear, then there are three lines that can be drawn through pairs of points.

Therefore, for three points, three is the greatest number of lines that can be drawn through pairs of points. Determine the greatest number of lines that can be drawn for four points, five points, and six points. Generalize to n points.