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Ant Origin Coordinate Walk

1925SpecialistCoordinate GeometryCombinatorics

Harvard-MIT November Tournament

An ant starts at the origin of a coordinate plane. Each minute, it either walks one unit to the right or one unit up, but it will never move in the same direction more than twice in a row. In how many different ways can it get to the point $(5,5)$?
0 students attempted0% solvedRating 1925

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