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IKMC 2027 - Grades 11-12 - Self-study SET 9 - Thematic Batch 3 Question 3

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 9 - Thematic Batch 3

Question 3

Fill each small polygon in the figure with one of 1, 2, 3, 4, one number per region. Every number must occur at least once, and any two regions sharing an edge must have different numbers. Two regions already contain 1. How many ways are there to fill the four empty regions?

Question illustration
  1. 8
  2. 10
  3. 12
  4. 18
  5. 0