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-- 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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Soumya Sharma

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Q: How many straight lines can be formed with 10 non collinear points?
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