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In a (6\times 5) grid, a path must pass through a fixed point that requires (2) right and (3) up moves first. How many paths are possible?

Answer and explanation

Correct answer: (700)

First part has (^{5}C_{2}=10) paths and the second part has (^{6}C_{4}=15) paths. Total is (150).

Related tags

GridPathThrough-PointCombinationsPermutations And CombinationsMathematicsClass 11 Mcq

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