If there are 6 teams in a group and they all play each other once, how many unique group standings can there be? Is there a formula?

Asked Mar 12 '21 at 07:11

Active Mar 12 '21 at 07:11

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So for instance, if there are 2 teams in a group then there are 2 different possible outcomes but only 1 unique way the standings can look:

1-0 0-1

For 3 teams, there are 2 options:

2-0
1-1
0-2

and:

1-1

Now how I can keep listing out the possibilities for however many teams but is there a formula that can help me? For instance for a group of 6 teams, how many unique standings can there be?

asked Mar 12 '21 at 07:11

Anonymous

Can you explain the standings given for $3$ teams specifying $A, B, C$? – true blue anil Mar 12 '21 at 07:45
Judging by your examples, there can only be wins and losses, so there are no draws. Is that correct? – N. F. Taussig Mar 12 '21 at 08:41
There are no draws so for 3 teams, the standings will look like one of the two standings above – Anonymous Mar 16 '21 at 00:12

If there are 6 teams in a group and they all play each other once, how many unique group standings can there be? Is there a formula?

0 Answers0