NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 00:26 It is currently 24 Apr 2024, 00:26
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

32 teams compete in the World Cup of Soccer. They are divided into ei

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16593 [4]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   18 Jan 2019, 05:12
1
Kudos
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

74% (01:27) correct 26% (02:02) wrong based on 133 sessions
Hide Show timer Statistics
[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
ShowHide Answer
Official Answer
C
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4095 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: 32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   18 Jan 2019, 05:41
MathRevolution 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



total matches one team plays in each group : 4c2 = 6
total groups = 8
total group matches : 8 * 6 = 48 IMO C
avatar
B
nch2024
Intern
Intern
Joined: 26 Dec 2018
Posts: 20
Own Kudos [?]: 6 [1]
Given Kudos: 44
Concentration: Finance, Economics
Send PM
Re: 32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   18 Jan 2019, 07:44
1
Kudos
Archit3110 wrote:
MathRevolution 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



total matches one team plays in each group : 4c2 = 6
total groups = 8
total group matches : 8 * 6 = 48 IMO C


I arrived at C as well, but am confused by your combination. How would the number of matches a team plays in each group =6 and why would the combo = 4c2?

e.g.
Group A Pairings: (1 v 2, 1 v 3, 1 v 4), (2 v 1, 2 v 3, 2 v 4), (3 v 1, 3 v 2, 3 v 4) (4 v 1, 4 v 2, 4 v 3) and then subtract redundant combinations... leaving you with (1 v 2, 1 v 3, 1 v 4), (2 v 3, 2 v 4) and (3 v 4)


6 unique matches in each group * 8 groups =48


Thanks in advance for your help!
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4095 [1]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: 32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   18 Jan 2019, 07:50
1
Kudos
nch2024 wrote:
Archit3110 wrote:
MathRevolution 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



total matches one team plays in each group : 4c2 = 6
total groups = 8
total group matches : 8 * 6 = 48 IMO C


I arrived at C as well, but am confused by your combination. How would the number of matches a team plays in each group =6 and why would the combo = 4c2?

e.g.
Group A Pairings: (1 v 2, 1 v 3, 1 v 4), (2 v 1, 2 v 3, 2 v 4), (3 v 1, 3 v 2, 3 v 4) (4 v 1, 4 v 2, 4 v 3) and then subtract redundant combinations... leaving you with (1 v 2, 1 v 3, 1 v 4), (2 v 3, 2 v 4) and (3 v 4)


6 unique matches in each group * 8 groups =48


Thanks in advance for your help!


nch2024
4c2 : means that in a group of 4 teams , each team would play each other once so total no. of matches in the group would played would be 6 or 4c2..
avatar
B
nch2024
Intern
Intern
Joined: 26 Dec 2018
Posts: 20
Own Kudos [?]: 6 [0]
Given Kudos: 44
Concentration: Finance, Economics
Send PM
32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   18 Jan 2019, 07:58
Ahh I see now! 4c2 states how many possible pairs can be created from the 4 teams in each group... Thank you!
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16593 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: 32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   20 Jan 2019, 18:42
Expert Reply
=>

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
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32636
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: 32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink] New post   29 Jun 2023, 10:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: 32 teams compete in the World Cup of Soccer. They are divided into ei [#permalink]
29 Jun 2023, 10:09
Moderators:
Bunuel
Math Expert
92883 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions