On an 88 chessboard, a rook is allowed to move any number

Chapter 9, Problem 9.202

(choose chapter or problem)

On an 88 chessboard, a rook is allowed to move any number of squares either horizontally or vertically. How many different paths can a rook follow from the bottomleft square of the board to the top-right square of the board if all moves are to the right or upward?

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