Round-robin tournament In a round-robin tournament, each player plays every other player exactly once, where there are a total of $n$ players. Then,
$(i)$ What is the sum of wins and losses for each player?
$(ii)$ If there is a player who is undefeated, then how many wins does the player have?
$(iii)$ If there is no player who is undefeated, then what is the most wins of a player?
Concerning about these sub-parts, I think answer for $(i)$ would be $n(n-1)$, but have no idea on how to solve $(ii)$ and $(iii)$ (possibly I got wrong for them)

Hint :
Sum of wins and losses = Total number of games played
