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BEBRAS 2018 Grade 3-4 Round 2 Ext Question 6

BEBRAS · BEBRAS 2018 Grade 3-4 Round 2 Ext

Question 6

The friendly beavers of Jeju leave messages for visiting neighbours using a special three-bar gate.

Question illustration

Four example messages are: I am home; I will return late; I will return soon; nobody is home.

Question illustration

Cheolsoo thinks more messages are possible by changing the bars. What is the largest number of messages?

Editorial reading of the examples: each of the three distinct bar positions can independently be across the gate or lowered at its free end.
  1. 4
  2. 6
  3. 8
  4. 10