Puzzles/Statistical puzzles/A Bug Running/Solution

Puzzles | Statistical puzzles | A Bug Running | Solution

The bug must move seven times to the right and seven times up. Any such sequence, e.g. RRUUURURRUURUR is a valid path. Therefore the solution is $${14 \choose 7} = 3432$$. In the case of an $$n$$ x $$n$$ board the answer is $${2n-2 \choose n-1}$$.