Paths on a 4×3 grid

MediumCombinatorics~3m

Moving only right or up, how many lattice paths go from (0,0)(0,0) to (4,3)(4,3)?

Show hints (2)+
  1. Count R/U move sequences.
  2. (73)\binom{7}{3} (or (74)\binom{7}{4}).

Answer

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35

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