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How many lattice paths are there from (0,0) to (5,5) that do not pass through (1,2) nor (3,1)? A (10 5) B (10 5)(3 1)(4

How many lattice paths are there from (0,0) to (5,5) that do not pass through (1,2) nor (3,1)?

A (10 5)

B (10 5)(3 1)(4 3)

C (10 5)(3 1)(4 3)+(3 2)

D None of the above

E I don't know

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