-- The beginning point of a line can be any one of the 10 points. For each of these ...
-- The end point of the line can be any one of the remaining 9 points.
So there are (10 x 9) = 90 ways to form a line with 2 of 10 non-colinear points.
But once a line is drawn, there's no difference between it and the one that was drawn in the opposite direction between the same two points. So the 90 ways of forming lines actually produce (90 / 2) = 45 unique line segments.
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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
they are points that aren't on the same line
depends on the position of the points if points are collinear, we have just only one line, the minimum number. If points are in different position (if any of the two points are not collinear) we have 21 lines (7C2), the maximum number of lines.
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