I wasn't sure whether this Question will be appropriate here or on SO, I'm still going ahead and posting it here. Please let me know if this doesn't belong here.
Consider a round robin tournament with $k$ players ($k*(k-1)/2$ matches). Result of each match is either win ($+1$ to the winner) or loss ($0$ to the loser). The questions I have are -
- How many different arrangements are possible regarding the total points won by each of the $k$ players at the end of the tournament?
- I also want to write up a code simulating all possible results in R or MATLAB.