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
For ( n ) collinear points, the number of line segments that can be formed is given by the combination formula ( \binom{n}{2} ), which represents the number of ways to choose 2 points from ( n ) points. This simplifies to ( \frac{n(n-1)}{2} ). Therefore, the total number of segments formed by ( n ) collinear points is ( \frac{n(n-1)}{2} ).
One! That is what collinear means!
14
84 of them.
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
Three
Just one.
64 triangles
The answer depends on how many points there are and how many triplets are non-collinear.
Points are collinear if they are on the same line.
From 8 non-collinear points, any two points can be connected to form a straight line. The number of lines that can be formed is given by the combination formula ( \binom{n}{2} ), where ( n ) is the number of points. For 8 points, this is calculated as ( \binom{8}{2} = \frac{8 \times 7}{2} = 28 ). Therefore, 28 straight lines can be formed from 8 non-collinear points.