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IMAS 2021–2022 Junior — Round 1 Question 20

IMAS · IMAS 2021–2022 Junior — Round 1

Question 20

The four circles below have some number of points on their circumference. Connect all the points on the same circle using straight lines and count the number of regions these segments have partitioned the circle into.

Question illustration

If there are 6 points on the circumference of a circle, how many regions have been partitioned at the most?
  1. 24
  2. 30
  3. 31
  4. 32
  5. 40