Isn't it simple counting?

Let A 1 A 2 A 3 A 4 . . . . . A 21 A_{1}A_{2}A_{3}A_{4}.....A_{21} be a 21-sided regular polygon inscribed in a circle with centre O O . How many triangles A i A j A k A_{i}A_{j}A_{k} , 0 < i < j < k < 22 0<i<j<k<22 , contain the point O O in their interior.

NOTE: This is not an original problem


The answer is 385.

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