triangles

Mar 2010
110
0
what is the maximum number of triangles that could be formed if the vertices were to be chosen from a set of seven points?

is this 7C3 = triangles?
 

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MHF Hall of Honor
Mar 2010
2,340
821
Chicago
what is the maximum number of triangles that could be formed if the vertices were to be chosen from a set of seven points?

is this 7C3 = triangles?
I believe this is correct, with the caveat that among the seven points we can't have any three points collinear, unless we are counting degenerate triangles (that is, line segments) as triangles.
 

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MHF Hall of Honor
Mar 2010
2,340
821
Chicago
so would 7C3 be correct? 35 possible triangles?
Haha, it seems that the "I believe" in my post is casting doubt on my credibility. Well, do you think it's the correct answer? At some point you should develop confidence that you have correct answers without needing to ask for confirmation.

But, I confirm your result. The answer is 7C3 = 35.