1.

Consider a 20-sided convex polygon K, with vertices A_(1), A_(2),…, A_(20) in that order. Find the number of ways in which three sides of K can be chosen so that every pair among them has at least two sides of K between them (For example (A_(1), A_(2), A_(4), A_(5), A_(11) A_(12)) is an admissible triple while (A_(1)A_(2), A_(4)A_(5), A_(19)A_(20)) is not)

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ANSWER :351


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