It is currently 18 Nov 2017, 01:53

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# There are, in a certain league, 20 teams, and each team face

Author Message
TAGS:

### Hide Tags

Intern
Joined: 04 Jan 2011
Posts: 1

Kudos [?]: 7 [1], given: 0

There are, in a certain league, 20 teams, and each team face [#permalink]

### Show Tags

06 Jan 2011, 08:13
1
KUDOS
6
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:15) correct 28% (01:42) wrong based on 104 sessions

### HideShow timer Statistics

There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?

A. 1900
B. 3600
C. 2400
D. 180
E. 5400

[Reveal] Spoiler: OA

Last edited by Bunuel on 28 May 2014, 12:53, edited 1 time in total.
Renamed the topic, edited the question and options.

Kudos [?]: 7 [1], given: 0

Manager
Joined: 19 Jul 2009
Posts: 51

Kudos [?]: 60 [0], given: 3

Location: baltimore, md
Schools: kellogg, booth, stern, ann arbor

### Show Tags

06 Jan 2011, 10:05
unfortunately, i went the long way. it took about 2:20 to do.

since there are 20 teams, and each team plays the other team a total of 10 times, then the 1st team will play a total of 190 games (there are 19 other teams played 10 times each so 19*10 = 190), our second team will play a total of 180 games, our 3rd team will play 170.......
adding all of these up, we get 1800.

hopefully someone can post an answer that is shorter. i'm not the best with combination-type problems.

Master Bunuel might be able to provide a good explanation.
_________________

Paaaaayyy Meeeee!!!!!

Kudos [?]: 60 [0], given: 3

Intern
Joined: 24 Jun 2010
Posts: 17

Kudos [?]: 5 [0], given: 0

### Show Tags

06 Jan 2011, 12:28
It should be 1900

1st team:190
2nd team:180
3rd team :170

Similarly the last team will play 0

therefore(190+180+170....10)

10(19+18+17+16....1)

10 (n(n+1)/2)=10(19*20/2)=1900

Kudos [?]: 5 [0], given: 0

Retired Moderator
Joined: 02 Sep 2010
Posts: 793

Kudos [?]: 1208 [1], given: 25

Location: London

### Show Tags

06 Jan 2011, 14:25
1
KUDOS
Derek1988 wrote:
There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?

a) 1800
b) 3600
c) 2400
d) 180
e) 5400

[Reveal] Spoiler:
OA SHOULD be A but I don't get how

Each possible pairing of 20 teams plays 10 times
There are C(20,2) pairings

So no of matches = C(20,2) * 10 = 190 * 10 = 1900
_________________

Kudos [?]: 1208 [1], given: 25

Joined: 27 Jan 2010
Posts: 147

Kudos [?]: 22 [0], given: 53

Concentration: Strategy, Other

### Show Tags

25 Feb 2011, 12:50
Derek1988 wrote:
There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?

a) 1800
b) 3600
c) 2400
d) 180
e) 5400

[Reveal] Spoiler:
OA SHOULD be A but I don't get how

Choose 2 teams out of 20 teams = 20C2 = 190 (sets that can be formed)
Each set of team plays 10 games = 190 * 10 = 1900.

Kudos [?]: 22 [0], given: 53

Manager
Joined: 26 Sep 2010
Posts: 148

Kudos [?]: 62 [0], given: 18

Nationality: Indian
Concentration: Entrepreneurship, General Management

### Show Tags

25 Feb 2011, 23:39
Should be 1900! Can the original poster please clarify the answer again and the source ?
_________________

You have to have a darkness...for the dawn to come.

Kudos [?]: 62 [0], given: 18

TOEFL Forum Moderator
Joined: 16 Nov 2010
Posts: 1603

Kudos [?]: 600 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology

### Show Tags

26 Feb 2011, 00:49
I remember for such problems we perhaps need to divide the total number of games by 2, as two teams play each other, so isn't that true here, or am I missing something ?

Regards,
Subhash
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 600 [0], given: 40

Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 955

Kudos [?]: 1895 [1], given: 229

Location: India
GPA: 3.51
WE: Information Technology (Computer Software)

### Show Tags

28 May 2014, 12:40
1
KUDOS
Poster said "Kudos for the first who answers with the right answer"
And all provided answers are wrong... where is the poster OMG.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Kudos [?]: 1895 [1], given: 229

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132539 [0], given: 12324

### Show Tags

28 May 2014, 12:58

Kudos [?]: 132539 [0], given: 12324

Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 955

Kudos [?]: 1895 [0], given: 229

Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Re: There are, in a certain league, 20 teams, and each team face [#permalink]

### Show Tags

28 May 2014, 13:04
Thanks Bunuel, You are so fast.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Kudos [?]: 1895 [0], given: 229

Non-Human User
Joined: 09 Sep 2013
Posts: 15714

Kudos [?]: 281 [0], given: 0

Re: There are, in a certain league, 20 teams, and each team face [#permalink]

### Show Tags

12 Mar 2016, 03:09
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.
_________________

Kudos [?]: 281 [0], given: 0

Re: There are, in a certain league, 20 teams, and each team face   [#permalink] 12 Mar 2016, 03:09
Display posts from previous: Sort by