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In a grid, one moves from ((0,0)) to ((5,4)) using only right and up moves. The path must not pass through either ((2,2)) or ((4,3)). How many paths are possible?

Answer and explanation

Correct answer: (32)

Use inclusion-exclusion to subtract paths passing through the forbidden points from total paths. For grid paths, use (\binom{m+n}{m}).

Related tags

Grid-PathsInclusion-ExclusionCountingFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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