Question

a) How many grid paths from (0,0) to (6,6) are there? b) c) How many go...

a) How many grid paths from (0,0) to (6,6) are there?

b)

c) How many go through one of the points (1,1) or (2,2) or (3,3)?

I need answer for C) please.

I'm trying to use the A + B + C - AnB - AnC - BnC
+ AnBnC rule (Principle of Inclusion/Exclusion) for this problem but I found out that AnC(from 1,1 to 3,3 ) is just equal to AnBnC(from 1,1 to 2,2 to 3,3) because for grid path it can only move up or right. Am I wrong?

What should I do then? Can I still use this Principle of Inclusion/Exclusion?

Math   Statistics-And-Probability   
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