Let a person has to go from A to D moving along horizontal and vertical grids using shortest pat...

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Let a person has to go from A to D moving along horizontal and vertical grids using shortest path (as shown in figure).
Then
(a) The number of paths is equal to 276 .
(b) The number of paths is equal to 186 .
(c) The number of paths in which he doesnt cross point \( \mathrm{N} \) is equal to 36 .
(d) The number of paths in which he doesnt cross point M is equal to 60 .
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