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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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A shortest grid path with (6) right and (5) up moves must avoid the point reached after (2) right and (2) up moves. How many paths are possible?

Answer and explanation

Correct answer: (252)

Total paths are (^{11}C_{6}=462). Subtract paths through that point (^{4}C_{2}\times{}^{7}C_{4}=210), giving (252).

Related tags

Grid-PathAvoid-PointExclusionCombinationsPermutations And CombinationsMathematicsClass 11 Mcq
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