AMC / AIME · Combinations · Easy

Combinations: How many triangles are determined by math points with no three collinear?

Unordered selections.

Try the problem

How many triangles are determined by 66 points with no three collinear?

Hint and answer

Concept to use

$\binom nk$.

Hint

Selections ignore order: use (nk)\binom nk.

Answer

20

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