You’re helping to organize a fundraiser at school, and you have seven volunteers who will work together in groups of three in seven time slots. You want to schedule the volunteers so you have seven groupings, while making sure that no pair of students works together more than once (so that no one gets too cliquey).
Can you come up with such an arrangement? Grab a pencil and paper and try it before reading on.
Suppose your volunteers are Andre, Bill, Charlotte, Dan, Emma, Flo, and Gavin. You could organize them into teams as follows, with each person working in three time slots:
Andre, Bill, CharlotteAndre, Dan, EmmaAndre, Flo, GavinBill, Dan, FloBill, Emma, GavinCharlotte, Dan, GavinCharlotte, Emma, Flo
With this arrangement, the volunteers share the work equally, and no cliques…
