3 lines and one plane
There are 91 lines.
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
15 lines.
"Collinear" means "on the same straight line".Two points are always collinear, because you can always draw a straight linebetween any two points. Three points may or may not be collinear.
The definition of a non-collinear line is that this is a line on which points do not lie on one line. The opposite of this is a collinear point. Collinear points refer to three points that do fall on a straight line.
Collinear lines lie on the same straight line
Not sure about complanar. Coplanar lines can be collinear but need not be.
Collinear lines lie on the same straight line passing through the same points and they are coplanular lines when meeting on the same plane.
10 lines, but only if no three of them are collinear.
line segments
15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.