10 collinear points form one set of overlapping line segments, of which there are 45.
3
One! That is what collinear means!
Just one.
Only one if they are non-collinear. An infinite number if they are collinear.
Three
3
One! That is what collinear means!
14
84 of them.
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
64 triangles
Three
Just one.
Points are collinear if they are on the same line.
The answer depends on how many points there are and how many triplets are non-collinear.
Three points can lie in more than one plane if they are not collinear. If the three points are non-collinear, they define a unique plane, but if they are collinear, they can lie on infinitely many planes that contain that line. Additionally, if you consider different orientations or positions of planes that intersect the line formed by the collinear points, these also contribute to the existence of multiple planes. Therefore, the arrangement and relationship of the points determine how many planes can contain them.
Two intersecting lines can always cover three non-collinear points.