|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 12 May 2012
Posts: 25
Location: United States
Concentration: Technology, Human Resources
Followers: 0
Kudos [?]:
8
[0], given: 19
|
There are 8 teams in a certain league and each team plays [#permalink]
 17 Jun 2012, 03:52
Question Stats:
78% (01:41) correct
21% (00:22) wrong based on 26 sessions
There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played? A. 15 B. 16 C. 28 D. 56 E. 64
Last edited by Bunuel on 17 Jun 2012, 03:56, edited 1 time in total.
Edited the question and added the OA.
|
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11506
Followers: 1790
Kudos [?]:
9514
[0], given: 826
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
17 Jun 2012, 03:57
|
|
|
|
|
|
Director
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 551
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Followers: 1
Kudos [?]:
13
[0], given: 560
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
14 Nov 2012, 06:23
Bunuel wrote: sarb wrote: There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
A. 15
B. 16
C. 28
D. 56
E. 64 The total # of games played would be equal to the # of different pairs possible from 8 teams, which is C^2_{8}=28. Answer: C. P.S. Please read and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention ot the points #3 and #8. I would like to learn about C^2_{8}=28. Manhattan Book doesn't discuss this approach. They have anagram approach.
_________________
hope is a good thing, maybe the best of things. And no good thing ever dies.
Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595
My GMAT Journey : end-of-my-gmat-journey-149328.html#p1198742
|
|
|
|
|
|
Intern
Joined: 27 Aug 2012
Posts: 21
Followers: 0
Kudos [?]:
1
[0], given: 55
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
15 Nov 2012, 23:27
Hi Bunnel,
I would also like to learn this approach. Can u help me?
Sree
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11506
Followers: 1790
Kudos [?]:
9514
[1] , given: 826
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
16 Nov 2012, 04:19
1
This post received
KUDOS
|
|
|
|
|
|
Intern
Joined: 18 Oct 2012
Posts: 4
Followers: 0
Kudos [?]:
4
[1] , given: 9
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
18 Nov 2012, 21:09
1
This post received
KUDOS
These type of problems can be solved with a simple diagram.
1. Draw a table consisting of 8 columns and 8 rows.
2. Divide the table by a diagonal and count the number of spaces including the half spaces only on one side of the diagonal.
3. The number should be 28.
I tried uploading the diagram but unsuccessful.
|
|
|
|
|
|
Senior Manager
Joined: 13 Aug 2012
Posts: 468
Followers: 12
Kudos [?]:
72
[0], given: 11
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
28 Dec 2012, 06:59
sarb wrote: There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
A. 15
B. 16
C. 28
D. 56
E. 64 =\frac{8!}{2!6!}=4*7 = 28Answer: C
|
|
|
|
|
|
Senior Manager
Joined: 09 Jun 2010
Posts: 456
Followers: 0
Kudos [?]:
14
[0], given: 39
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
31 Jan 2013, 01:37
it is not easy and is harder if we are on the test date.
there are 8 team
to take out 2 teams, IF ORDER MATTERS we have 8*7
but in fact order does not matter
8*7/2=28
princeton gmat book explain this point wonderfully.
|
|
|
|
|
|
Intern
Joined: 14 Jan 2013
Posts: 1
Location: Austria
Followers: 0
Kudos [?]:
5
[0], given: 1
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
16 May 2013, 01:13
Bunuel wrote:
The total # of games played would be equal to the # of different pairs possible from 8 teams, which is C^2_{8}=28.
Hi Bunuel, I have seen that you are using this formula/approach to solve most of the combination questions. Could you please explain, in general, how do you use this formula? Thanks a lot.
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11506
Followers: 1790
Kudos [?]:
9514
[0], given: 826
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
16 May 2013, 04:33
|
|
|
|
|
|
Intern
Joined: 22 Apr 2013
Posts: 15
Followers: 0
Kudos [?]:
2
[0], given: 27
|
Re: There are 8 teams in a certain league and each team plays [#permalink]
17 May 2013, 21:18
pranav123 wrote: These type of problems can be solved with a simple diagram.
1. Draw a table consisting of 8 columns and 8 rows.
2. Divide the table by a diagonal and count the number of spaces including the half spaces only on one side of the diagonal.
3. The number should be 28.
I tried uploading the diagram but unsuccessful. That's one of those tips that can make my life easier. I'm book marking this page. Thanks.
_________________
I do not beg for kudos.
|
|
|
|
|
|
|
Re: There are 8 teams in a certain league and each team plays
[#permalink]
17 May 2013, 21:18
|
|
|
|
|
|
|
|
|
|
|
close
