Ok I know someone on this site must be a math genious. So here goes. I am in charge of making a work list that will run for six months.

There are 12 guys, who will be working in groups of 2. And they will need to be in a different group every month (not grouped with the same people twice.)

That is fine and dandy, but the hospital has 6 floors, so not only do I need every group to be different each month I need each person to get the opportunity to work on each floor.

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I was thinking I would let each letter of the alphabet equal a person so you have

A B C D E F G H I J K L------------REPRESENTS EACH PERSON 12 TOTAL.

So if you draw a grid out 6months down the side- the floors over the top. and you start grouping the letters together.....AB, CD......so on it equals a huge pain in the azz. I have gotten 5 months done and 5 floors where no one is grouped together twice, and no one is on the same floor. But it is looking like there is only one possible solution to the problem.

So does anyone know an equation, a web site for an equation, or anything. $50.00 reward for the correct answer or a source that can help me get the right answer.