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BEBRAS 2024 Grade 7-8 Round 2 Ext Question 11

BEBRAS · BEBRAS 2024 Grade 7-8 Round 2 Ext

Question 11

Each construction piece has four features: width, height, number of protruding connectors and number of indented connectors. Three pieces may share a bag if, for each feature separately, all three values are equal or all three are pairwise different. The example has equal widths, three different heights, protrusion counts 1,0,2 and indentation counts 2,1,0.

Question illustration

How many different triples can be selected from these nine pieces?

Question illustration
  1. 3
  2. 5
  3. 2
  4. 4