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Australian AMC 2012 - Senior Question 22

AMC AUSTRALIA · Australian AMC 2012 - Senior

Question 22

Twelve points are marked on the circumference of a circle. All possible chords that join any two of these points are drawn. We will call a pair of such chords free if the two chords in the pair do not intersect and have no common endpoints. The total number of free pairs is
  1. 132
  2. 210
  3. 495
  4. 990
  5. 1485