# Math

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

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. I think 24

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. that would be C(12,2) = 66

1. 👍
2. 👎
3. ℹ️
4. 🚩
3. I am getting 264

1. 👍
2. 👎
3. ℹ️
4. 🚩
4. You are wrong.

Think of it this way:
Each of the 12 teams can play against the other 11 teams, that would would be 12x11 = 132
But each of these has a double,
e.g team A plays team B is the same game as team B vs team A
so we have to divide our 132 by 2 to get 66.

Trust me, 66 is the correct answer.

1. 👍
2. 👎
3. ℹ️
4. 🚩
5. but they each play twice so double it

1. 👍
2. 👎
3. ℹ️
4. 🚩
6. 132i. Is not the right answer

1. 👍
2. 👎
3. ℹ️
4. 🚩
7. 12 x 22= 264

1. 👍
2. 👎
3. ℹ️
4. 🚩
8. 11 games x 12 teams doubled, because each team plays the same amount of games twice = a total of 264 games

1. 👍
2. 👎
3. ℹ️
4. 🚩
9. This question can be solved in two ways:
1. 12 X 11. If you make a table, you can see why this works. For the first column, number 1 plays against 11 teams. There should be 12 columns for 1-12. When you organize it this way, each team plays each other twice. Think about if there were two teams who each played each other twice. You would have 2X1. You would not divide by 2 because this would leave you with 1. Now think of three teams. Most people would be easily able to see that this is 6 in their head. It is the same concept.
2. The second method, which is a little trickier, is to divide factorial of 12 by the factorial of 12-2. This gives us the factorial of 12 divided by the factorial of 10.

1. 👍
2. 👎
3. ℹ️
4. 🚩

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### math

In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by N = n2 - n. What is the total number of games to be played in a football league having 17 teams?

2. ### Math

5 basketball teams play each other once. How many games are played?

3. ### forces

Two teams of nine members each engage in a tug of war. The first team's members have average masses of 64 kg and exert average forces of 1350 N horizontally. The second team's members have average masses of 69 kg and exert average

A Basketball team won 6 games and lost 4 games. What is the teams ratio of wins to losses

1. ### SAT Math

At a basketball tournament involving 8 team played 4 games with each of the other teams. How many games were played at the tournament? a. 64 b. 98 c. 112 d. 128 e. 224 I worked out the problem (8 cpr 4), and I got 70. As you can

2. ### Math

In a World Series, two teams play each other in at least four and at most seven games. The first team to win four games is the winner of the World Series. Assuming that both teams are equally matched, what is the probability that

3. ### Math

How many volleyball games would Rana have to schedule if there were 10 teams in the league and each team played each other twice?

4. ### Math...again

Check my answers? The table below shows the scores for two teams playing a series of four card games. Game1|Game2|Game3|Gm4 Team1: -3 | 2 |-4. | 4 Team2: 4. |-5. | 9. | -9 A. Find the totals for each team after two games B.if the

1. ### math

Ms. Olivieri’s class plays a game in teams. Each team has the same number of students. The ratio of teams to players is 8:32. How many students are in Ms. Olivieri’s class? How many students are on each team?

2. ### math

1. There are 44 teams in the youth football league. Each team has 28 players. How many football players are there? 2. 438 people signed up for a city soccer league. The league places 15 people on each team. How many teams are

3. ### Algebra 1

There is a state soccer tournament with 128 teams competing for 1st place. Each week, half of the teams get eliminated. How many teams remain after 6 weeks? A. 16 B. 8 C. 4 D. 2

4. ### Math

Two teams are playing in a best of seven playoff series. The first team to win four games wins the series. Ties are broken through sudden decision overtime. If the teams are evenly matched: What are the odds in favour of either