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Number of different paths of shortest di...

Number of different paths of shortest distance from `A` and `B` to in the grid which do not pass through `M`, is

A

`.^(11)C_(5)-.^(6)C_(3)`

B

`262`

C

`442`

D

`.^(11)C_(5)-[.^(6)C_(3)xx.^(5)C_(2)]`

Text Solution

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The correct Answer is:
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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