In one step, one can move from the point , with , to another point of the cube grid by always increasing exactly one of the coordinates by 1.
Determine the number of all shortest paths that lead from the origin to the point .
Solution
empty
Translate the text above into English, please retain the original text's line breaks and format, and output the translation result directly.
Note: The note above is a clarification and should not be included in the final translation. The actual translation is:
empty
Want a route through all this instead of an archive? The track
puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.