Question 12
Bibor and a friend play Nim. Seven matches lie in a row. The first player removes one or two matches, then the second removes one or two, and they alternate. Whoever removes the last match wins. Bibor plays first.
Hint: Bibor cannot take the last match if three remain on his turn, so he must avoid that situation.
How many matches should Bibor remove on his first turn to win?
Hint: Bibor cannot take the last match if three remain on his turn, so he must avoid that situation.
How many matches should Bibor remove on his first turn to win?