Hillside Little League has 12 teams. Each team plays each of the other team twice. How many games are played?

This is also the handshake problem.

Use the logic of the answer to the previous post.

12 teams in total. so 1 team each plays 11 teams.

1 team plays 11 times
So 12 teams play x times
x= 11*12
x=121

11*12=132

The last two replies from above are incorrect.

It is the same logic as the handshake problem, as MathMate noted.

You are basically looking for the number of subsets of 2 elements which is
C(12,2) = 12!/(10!2!) = 66

I think that is wrong because all teams play twice so it 264 but you divide by 2 because you can't count teamA playing teamB again as Team B playing team A so, 264/2=132

To find the total number of games played in Hillside Little League, we need to determine the number of games each team plays against the other teams.

Since there are 12 teams, each team will play against 11 other teams (excluding themselves). Each team plays each of the other teams twice, so we multiply this number by 2 to account for the two games between each pair of teams.

The formula to calculate the total number of games is (number of teams) * (number of games each team plays against other teams):

Total number of games = 12 teams * (11 teams * 2 games)

Simplifying this equation:

Total number of games = 12 * 22 = 264 games.

Therefore, there are 264 games played in Hillside Little League.