So,you are in which side

Number Theory Level pending

A 20 sided convex polygon k with sides a1,a2,a3,..........a20. Find number of ways in which 3 sides con be taken such that they have atleast two sides between them. eg:{(a1a2),(a5a4),(a11a12)}is possible while{(a1a2),(a3a4),(a8a9)} is not possible.


The answer is 520.

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