Question: How many different paths in the xy-plane are there from (0, 0) to (7, 7) if a path proceeds one step at a time by

How many different paths in the xy-plane are there from (0, 0) to (7, 7) if a path proceeds one step at a time by going either one space to the right (R) or one space upward (U)? How many such paths are there from (2, 7) to (9, 14)? Can any general statement be made that incorporates these two results?

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