Groupings of 6: how to ensure each meets each of 29 other members?

NoMathKath

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Joined
Nov 7, 2016
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Hi everyone,

I have been attempting to solve a math problem but as I am not mathematically minded I thought perhaps it would be best to ask people who know what they are doing.
I am Planning a conference and have 30 people attending. 15 from department A and 15 from department B
They will be carrying out activities in groups of 6 (3 from each department) but will swap groups throughout the course of the the day for 5 or 6 Activities
Is there a simple way to ensure that every individual has been in a group with each of the other other 29 people at least once?
I'm sure there must be some fantastic formula for this. Any help would be much appreciated.
 
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