Is there a way to avoid repeating this? (Combinations)

elnegrowacho

New member
Joined
May 31, 2019
Messages
1
Hi everybody, this is my first post by the way!

Let's get to the business.

So imagine the following scenario: we are at a social event where we have a certain number of participants. Let's say for the purpose of this experiment that we have 31 participants. We want to build teams of minimum 4 people and maximum 8 people.

We have the following groups

3 times 3x8
1 time 1x7

TOTAL: 31

These 31 participants have all gathered to play board games. The whole event will be divided in 5 rounds, in which different board games are being played.

Board games: a, b, c, d & e

5 board games.


Everybody in the room wants to meet everybody else throughout the course of the event. Doesn't matter if the participants meet other participants they have met before in other rounds; the important is that they get to meet new people and that by the end of the event they have met everybody in at least one round.

After each round, teams and groups are swapped. New teams are made so, as said before, participants get to meet other participants new to them. Here's the trick: after each round, aside from them being in new groups with participants they have met previously and new participants, we want every participant to play a board game that is new for them.


Is there a way of making sure every participant meets everybody and at the same time every participants gets to play every board game?

Thank you in advance for your time guys!!
 
Nice problem.
So what have you tried and where are you stuck. The forum rules (have you read them??) clearly states that we need to see some work from you so we know where you need help.

Also what do you mean by:
We have the following groups

3 times 3x8
1 time 1x7
 
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