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There are 8 teams in a certain league and each team plays [#permalink]
17 Jun 2012, 02:52

00:00

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Difficulty:

15% (low)

Question Stats:

74% (01:41) correct
25% (00:32) wrong based on 272 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?

Re: There are 8 teams in a certain league and each team plays [#permalink]
18 Nov 2012, 20:09

2

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.

Re: There are 8 teams in a certain league and each team plays [#permalink]
17 Jun 2012, 02:57

1

This post received KUDOS

Expert's post

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.

Re: There are 8 teams in a certain league and each team plays [#permalink]
16 Nov 2012, 03:19

1

This post received KUDOS

Expert's post

Sachin9 wrote:

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.

I would like to learn about C^2_{8}=28. Manhattan Book doesn't discuss this approach. They have anagram approach.

Well the game is played by 2 teams. How many games are needed if there are 8 teams and each team plays each of the other teams exactly once? The number of games will be equal to the number of different pairs of 2 teams we can form out of 8 teams (one game per pair). How else?

Re: There are 8 teams in a certain league and each team plays [#permalink]
16 May 2013, 03:33

1

This post received KUDOS

Expert's post

mywaytomba wrote:

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?

Re: There are 8 teams in a certain league and each team plays [#permalink]
14 Nov 2012, 05:23

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.

Re: There are 8 teams in a certain league and each team plays [#permalink]
28 Dec 2012, 05:59

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?

Re: There are 8 teams in a certain league and each team plays [#permalink]
16 May 2013, 00:13

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?

Re: There are 8 teams in a certain league and each team plays [#permalink]
17 May 2013, 20:18

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.
_________________

Re: There are 8 teams in a certain league and each team plays [#permalink]
26 Dec 2013, 22:04

Lets assume the question asks There are 8 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?

Re: There are 8 teams in a certain league and each team plays [#permalink]
27 Dec 2013, 02:08

Expert's post

theGame001 wrote:

Lets assume the question asks There are 8 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?