On an 8 × 8 chessboard, a rook is allowed to move any

Chapter 9, Problem 23E

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Problem 23E

On an 8 × 8 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 bottom-left 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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