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Number of different paths of shortest distance from `A` and `B` to in the grid which do not pass through `M`, is
image
A. `.^(11)C_(5)-.^(6)C_(3)`
B. `262`
C. `442`
D. `.^(11)C_(5)-[.^(6)C_(3)xx.^(5)C_(2)]`

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Correct Answer - B::D
Total path.[number of paths passing through `M`]
`= .^(11)C_(5)-[.^(6)C_(3)xx.^(5)C_(2)] = 462 - 20 xx 10 = 262`

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