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December 6th, 2017, 09:49 AM   #1
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Question Regrouping 28 persons in 7 groups without meeting twice 4 times

So I am preparing a convention with 28 persons.
I want them to work in groups of 4 people (7 groups total) and regroup them 4 times without them meeting each other again.

I can easily come up to 2 regroups, but it stops at 3. I have been searching all over the internet for apps or automatic calculators, but I can't find any.
I think it is not possible to make this happen, but I need a way to minimize double meetups as much as possible.

1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
17 18 19 20
21 22 23 24
25 26 27 28

1 8 15 22
2 9 16 23
3 10 17 24
4 11 18 25
5 12 19 26
6 13 20 27
7 14 21 28
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