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BEBRAS 2021 Grade 7-8 Round 2 Ext Question 14

BEBRAS · BEBRAS 2021 Grade 7-8 Round 2 Ext

Question 14

Hansel and Gretel play with three blue stones and seven red stones. On each turn a player removes either one or two blue stones, or one, two or three red stones. Whoever takes the last stone wins. Gretel moves first and both play perfectly. Which first move guarantees her victory?
  1. One red stone
  2. One blue stone
  3. Two blue stones
  4. Three red stones