Question: Robot on a grid There is a robot standing on a 2 D rectangular grid. At each step, it moves 1 unit in one of

Robot on a grid
There is a robot standing on a 2D rectangular grid. At each step, it moves 1 unit in one of four directions: up, down, left, or right. It never visits the same position more than once. The robot moves 4 times, starting from the origin (0,0). What is the number of unique paths that the robot could have taken?
Robot on a grid There is a robot standing on a 2

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