Almost right except it should be 1716*2 = 3432.In fact this question has a simpler form of solution with a simpler method. (Note that 3432 is 14 choose 7.)The reason that I put 7 here is that these rules are actually real rules in the annual "LeiTai" Go-Games happening between China and Japan.

You can try: When n=2, your formula gives 8 but there are actually only 6 paths.

<t>In a Go-Games between two teams, say Team C and Team J, the following rule holds:- Each team has exactly 7 members that are sorted in a predetermined order 1-7. Members and orders are not allowed to be changed during the games.- When the games starts, C1 plays against J1. Whoever loses is out. Th...

You are interviewing a guy who claims he remembers 100 decimal places of PI. You don't have anything for reference. How do you quickly make sure (or almost sure) what he claims is true?