Question 15
Alex and Julia play a leaf-taking game with three plates containing 1, 2 and 3 leaves respectively. On each turn, a player may take any positive number of leaves, but only from one plate. The winner is the player who takes the last leaf or leaves from the plates.
Alex plays first. From which plate should he take leaves on his first turn to guarantee victory even if Julia plays as well as possible?
Alex plays first. From which plate should he take leaves on his first turn to guarantee victory even if Julia plays as well as possible?