How many lines are determined by 8 points, none of which are collinear?

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How many lines are determined by 8 points, none of which are collinear?

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Answer 1 · 2017-04-02T13:53:08

28

Explanation:

If you think about it, determining a line requires two points. For #n# non-collinear points, the number of lines that are determined is the number of ways you can choose two points from the #n# points, without regarding order.

In other words, the answer is #""_8C_2=(""_2^8)=28#.

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How many lines are determined by 8 points, none of which are collinear?

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