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**gail****Member**- Registered: 2005-09-24
- Posts: 1

there are six teams in the football league.

each team will play each other once only.

how many games will be played altogether?

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**kylekatarn****Member**- Registered: 2005-07-24
- Posts: 445

Combinatorics tell us that the number of teams is

(combining six items in groups of two)

This can be proven by listing all possible games

Team# vs Team#

1 2

1 3

1 4

1 5

1 6

2 1 X //game already played (1 2) same as (2 1)

2 3

2 4

2 5

2 6

3 1 X

3 2 X

3 4

3 5

3 6

4 1 X

4 2 X

4 3 X

4 5

4 6

5 1 X

5 2 X

5 3 X

5 4 X

5 6

1 + 2 + 3 + 4 + 5 = 15 //done!!

*Last edited by kylekatarn (2007-02-03 02:34:27)*

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**austin81****Member**- Registered: 2005-03-21
- Posts: 39

Is there any site that has explicit notes on Combinations and Permutations? I'll like to be versed with that Topic.

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**Chelsea****Member**- Registered: 2005-06-16
- Posts: 390

5 x 6 is 30 so the answer is 30 is that right

Theres no other place like home or is there..............

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**Patrick****Real Member**- Registered: 2006-02-24
- Posts: 1,005

Please read kylekatarn's post if you want to know why your answer is wrong

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**Chelsea****Member**- Registered: 2005-06-16
- Posts: 390

Be quiet at least i tried

Theres no other place like home or is there..............

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**Devantè****Real Member**- Registered: 2006-07-14
- Posts: 6,400

And at least you brought back a year old thread to get in the way of things.

And if you can't take criticism, you can't take life. Life is full of it.

*Last edited by Devanté (2006-09-21 06:45:25)*

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