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Bebras 2021 - Level 3 Question 14

BEBRAS · Bebras 2021 - Level 3

Question 14

Hansel and Gretel are playing a game with 10 stones: 3 blue stones and 7 red stones. They take turns removing stones. On each turn a player may take 1 or 2 blue stones, or 1, 2 or 3 red stones. The player who takes the last stone wins.

If Gretel is allowed to move first, which stones should she take on her first turn to guarantee a win? Assume both players play very well.
  1. 1 red stone
  2. 1 blue stone
  3. 2 blue stones
  4. 3 red stones