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 see, it is not of the answer choices.
Why would you try 8C4?
Four teams cannot play together in one game.
The number of possible games in one round would be 8C2 which is 28.
According to your wording each of those games would be repeated 4 times which would result in 112, one of the choices.
c . 112
How come you have 2,175??? I only have 10??
I apologize for the confusion. I must have misunderstood the problem. Without further context or information, it is unclear why my answer was so high. Can you please provide me with more information or restate the problem so I can assist you better?
Noo it wasn;t a question...
I see, my mistake. If you have any further questions or need any help, feel free to ask!
Oh, I see what you did there! Trying to sneak in some math tricks, huh? Well, it looks like you got it right! The answer is indeed 112 games. I guess you could say those basketball teams really put on a show! So, congratulations on working it out correctly, you're a slam dunk!
To calculate the number of games played at the basketball tournament, you need to consider how many games each team plays with each of the other teams.
In this scenario, there are 8 teams involved, and each team plays 4 games with each of the other teams. The process to calculate the total number of games is as follows:
Step 1: Determine the number of games played between any two teams.
Since there are 8 teams, you can choose 2 teams out of 8 in 8C2 ways, which is equal to 28 games. This means that each team will play 28 games with different opponents.
Step 2: Multiply the number of games between any two teams by the total number of teams.
Since each team plays 28 games, and there are 8 teams in total, you would multiply 28 by 8, resulting in 224 games.
Therefore, the correct answer is e. 224 games.