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## #1 2005-09-24 11:22:14

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

### logic puzle

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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## #2 2005-09-24 12:53:49

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

### Re: logic puzle

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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## #3 2005-10-12 01:41:44

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

### Re: logic puzle

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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## #4 2006-09-19 15:32:36

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

### Re: logic puzle

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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## #5 2006-09-19 16:53:47

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

### Re: logic puzle

Support MathsIsFun.com by clicking on the banners.
What music do I listen to? Clicky click

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## #6 2006-09-20 16:06:22

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

### Re: logic puzle

Be quiet at least i tried

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

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## #7 2006-09-21 06:44:55

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

### Re: logic puzle

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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