Answer: When there are n teams in a league and each team plays every other team twice, then each team will play a total of n-1 games (since they don't play against themselves). Therefore, the total number of games played in the league is the sum of all the games played by each team, which is:
Total number of games = (number of teams) × (number of games played by each team) / 2
The division by 2 is necessary since each game involves two teams, so counting each game twice would result in double counting.
For the given basketball league with 11 teams, the total number of games played would be:
Total number of games = 11 × (11-1) / 2
= 11 × 10 / 2
= 55 × 2
= 110
Therefore, 110 games would be played in the league.
Explanation: