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How Many Triangles... (Posted on 2004-08-15) Difficulty: 3 of 5
... (maximum) can be formed with n straight lines?

See The Solution Submitted by SilverKnight    
Rating: 2.6250 (8 votes)

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Solution Assuming that | Comment 3 of 9 |

(all) the lines are lying in a plane and not parallel.   Three lines are required to make a triangle, and any three lines will make a triangle. So for n lines one will get:

        n! / ((n - 3)! (3!)) Triangles


  Posted by Dan Blume on 2004-08-16 02:02:19
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