Since we cannot make it to the red squares, I imagine them being 0. I then simple add the moves as normal:
And finally to answer the question, simply add the numbers in the top row:
3 + 6 + 6 + 3 = 18 paths to the top of the board.
Review/Extend:
This was a fairly easy question, by remembering to follow the rules of the question and the theory itself, the path was calculated perfectly.
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