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# How many triangles can be formed by joining 12 points, 7 of

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Joined: 26 Jul 2004
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How many triangles can be formed by joining 12 points, 7 of [#permalink]  09 Sep 2004, 10:47
How many triangles can be formed by joining 12 points, 7 of which as collinear?
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Joined: 16 Jun 2004
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3 points needed to form a triange. Total possibilities is 12C3.
However, 7 points are in the same line (collinear), hence we can't have a traingle. The net result is,

(12C3 - 7C3).
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