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CAT 2019 · Slot 1Quantitative AbilityProbability, CombinatoricsHARD+3 / −1TITA

With rectangular axes of coordinates, the number of paths from (1, 1) to (8, 10) via (4, 6), where each step from any point (x, y) is either to (x, y+1) or to (x+1, y), is

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