I have a real-world math problem that may be simple for some of you but we are counselors and cannot figure it out. I have a group of 6 people who need to divide into 2 groups of 3 each week. Over the weeks the groups need to change so that the small groups cover each possible combination of three over time (everyone gets the opportunity to meet with others in small groups to get the most variety of interaction). This goes on indefinitely so there would be a cycle that repeats when it is complete.
Does anyone know how we can set this up to easily get the combinations in a grid or something? Thank you!