olymmath

HMMT 2006 S10

  • Team 2
  • Answer

Given a convex nn-gon, n≥4n \geq 4, at most how many diagonals can be drawn such that each drawn diagonal intersects every other drawn diagonal strictly in the interior of the nn-gon? Prove that your answer is correct.

Dataset text NuminaMath olympiads. Quoted with source.

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\lfloor n / 2\rfloor

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