Can You Solve The Path Counting Puzzle?

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Can you solve the path counting brain teaser? For this puzzle, imagine you have a grid that is six squares by six squares. You are in the upper left square, and you must make it down to the square in the lower right corner. You are not allowed to move diagonally, you can only move to the right or to the left, square by square. How many different ways can you reach the lower right square?

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