Twenty two football players have agreed to split every week into two teams and play a match against each other. Every week, teams will be chosen differently, 11 players in each team, and they will play until each of the (231) possible pairs, A and B, of players among the 22 players will have played at least once against each other.

At least how many matches will be necessary before this happens?

More generally, if 2n players are to split into two teams of n players each in order play a certain game against each other, how many matches are necessary before everyone among the 2n players has played against every other player at least once?

Twenty two football players have agreed to split every week into two teams and play a match against each other. Every week, teams will be chosen differently, 11 players in each team, and they will play until each of the (231) possible pairs, A and B, of players among the 22 players will have played at least once against each other.

At least how many matches will be necessary before this happens?

More generally, if $2n$ players are to split into two teams of $n$ players each in order play a certain game against each other, how many matches are necessary before everyone among the $2n$ players has played against every other player at least once?

Twenty two football players have agreed to split every week into two teams and play a match against each other. Every week, teams will be chosen differently, 11 players in each team, and they will play until each of the (231) possible pairs, A and B, of players among the 22 players will have played at least once against each other.

At least how many matches will be necessary before this happens?

More generally, if 2n players are to split into two teams of n players each in order play a certain game against each other, how many matches are necessary before everyone among the 2n players has played against every other player least once?

Twenty two football players have agreed to split every week into two teams and play a match against each other. Every week, teams will be chosen differently, 11 players in each team, and they will play until each of the (231) possible pairs, A and B, of players among the 22 players will have played at least once against each other.

At least how many matches will be necessary before this happens?

More generally, if 2n players are to split into two teams of n players each in order play a certain game against each other, how many matches are necessary before everyone among the 2n players has played against every other player at least once?