Number of dual triangles in a 4x4 grid

Ravncat

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Joined
Oct 16, 2015
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I have a problem i'm not sure how to go about...

Let's say that I have a 4x4 grid,(rows a-d and columns 1-4) and I am going to make 2 triangles (or lines) on that grid, using 6 points... How many unique combinations are there?
 
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