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## #1 2005-09-25 09:22:14

gail
Novice

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### 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?

## #2 2005-09-25 10:53:49

kylekatarn
Power Member

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### 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 (2007-02-04 01:34:27)

## #3 2005-10-12 23:41:44

austin81
Member

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### Re: logic puzle

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

## #4 2006-09-20 13:32:36

Chelsea
Power Member

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### 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..............

## #5 2006-09-20 14:53:47

Patrick
Real Member

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### Re: logic puzle

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

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## #6 2006-09-21 14:06:22

Chelsea
Power Member

Offline

### Re: logic puzle

Be quiet at least i tried

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

## #7 2006-09-22 04:44:55

Devantè
Real Member

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### 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 (2006-09-22 04:45:25)

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