The puzzle can be quickly solved without having to work out any specific combinations
The left third of the flag can be any of 4 possibilities
As the middle third must be different from the left third, the middle third can only be any of 3 possibilities (for each of the 4 possibilities for the left third)
As the right third must be different from the middle third, this third can also only be any of 3 possibilities (for each of the 3 possibilities for the middle third)
From this, working out the number of possible combinations is a simple calculation
The solution can be seen here if needed
http://professorlayton2walkthrough.blogs鈥?/a>
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