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32 teams compete in the World Cup of Soccer. They are divid

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by Max@Math Revolution » Fri Jan 18, 2019 3:55 am
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[Math Revolution GMAT math practice question]

32 teams compete in the World Cup of Soccer. They are divided into eight groups of four teams (groups A to H) to compete in the ‘group stage’. Teams in each group play one another in a round-robin competition, with the top two teams of each group advancing to the knockout stage. What is the total number of matches played at the group stage?

A. 24
B. 36
C. 48
D. 56
E. 64
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by arunshankarsam » Fri Jan 18, 2019 6:06 am
C)48

Out of 4 team in each group a total of 6 matches are played.So with in 8 such groups a total of 48 matches will be played.

Correct me if i am wrong!

Thanks in advance
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by Brent@GMATPrepNow » Fri Jan 18, 2019 6:12 am
arunshankarsam wrote:C)48

Out of 4 team in each group a total of 6 matches are played.So with in 8 such groups a total of 48 matches will be played.

Correct me if i am wrong!

Thanks in advance
Perfect approach!

ASIDE: We have 4 teams, and 2 teams play a game.
So, the number of games played = the number of different ways to select 2 of the 4 teams = 4C2 = 6

Cheers,
Brent
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by Max@Math Revolution » Sun Jan 20, 2019 5:25 pm
=>

Each group plays 4C2 = 6 games and we have 8 groups.
Thus, the group stage includes 6*8 = 48 games.

Therefore, the answer is C.
Answer: C
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by Scott@TargetTestPrep » Sun Jan 27, 2019 9:46 am
Max@Math Revolution wrote:[Math Revolution GMAT math practice question]

32 teams compete in the World Cup of Soccer. They are divided into eight groups of four teams (groups A to H) to compete in the ‘group stage’. Teams in each group play one another in a round-robin competition, with the top two teams of each group advancing to the knockout stage. What is the total number of matches played at the group stage?

A. 24
B. 36
C. 48
D. 56
E. 64
The number of games played in each group is 4C2 = (4 x 3)/2 = 6. Since there are 8 groups in the group stage, the number of games played in the group stage is:

8 x 4C2 = 8 x 6 = 48

Answer: C

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