Puzzle of the Week #2
Every Monday this month (at least), we will post a puzzle. Each of these puzzles is a statement about Threes!; you have to determine if it is true or false. If true, explain why, and if false, give a picture of a counterexample (and/or explain when in general that counterexample might arise).
Here's the second puzzle: If you still have moves, you always have at least two choices.
This is a tougher puzzle than the previous one, so I will begin posting hints next Monday and the full solution the Monday after that.
Apparently I need at least two question marks in the post to let you all reply so here we go: Can anyone solve this puzzle??











