## Can someone explain puzzle 54 for me?

1. I know that the answer to the painting the flag puzzle (puzzle 54) is 36, but how can you solve that puzzle without actually writing out the 36 combinations?

#### User Info: lentels

lentels - 7 years ago

1. The game's own solution explains this fairly well (by working out 9 combinations and multiplying by 4)

Saying that, the puzzle can be 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 simply 4x3x3

For easy reference, the puzzle, hints and solution can be seen here
professorlayton2walkthrough.blogspot.com/2008/11/puzzle054.html

#### User Info: TheGuidingLight

TheGuidingLight - 7 years ago 0 0

This question was asked more than 60 days ago with no accepted answer.