Anyone able to provide me with a solution to this problem?
I came across this website whilst struggling with the following problem. Whilst I have found and read bits that have helped, I still can't solve this particular situation. I'm not a mathematician in any sense of the word so really would appreciate some help.
I have 5 groups of people. 4 of the groups have 4 people and the other one has 2 people - so 18 people in total. I have to come up with a system to allow each of the people in each group to meet each other. The meetings need to be in groups of 3-4. Some quick and basic maths suggested to me to have 6 meetings of 3 people for 6 weeks. I just can't come up with the right algorithm to get this organised. I have literally spent hours on it and got no where.
What I tried most recently was:
Wk 1: Mtg 1 Mtg 2 Mtg 3 Mtg 4 Mtg 5 Mtg 6 GATL1 GATL2 GATL3 GATL4 GBTL1 GBTL2 GCTL4 GCTL3 GCTL2 GCTL1 GBTL4 GBTL3 GDTL1 GDTL2 GDTL3 GDTL4 GETL1 GETL2 Wk 2: Mtg 1 Mtg 2 Mtg 3 Mtg 4 Mtg 5 Mtg 6 GETL2 GATL1 GATL2 GATL3 GATL4 GBTL1 GCTL3 GCTL2 GCTL1 GBTL4 GBTL3 GBTL2 GCTL4 GDTL1 GDTL2 GDTL3 GDTL4 GETL1
etc. etc. for 6 weeks. The only problem is that this didn't ensure that everybody met with everybody else.
Very grateful for your assistance.