The real problem is I don't know how to phrase this question in Excel's Help
feature. What I'm trying to do is as follows:

I have 4 groups of people (i.e. Group 1, Group 2, etc.). In each group are
4 different people. So total, there are 16 people.

I'm trying to mix and match so that each person gets into a group with a
different person every time. Does that make sense? I'm not sure if there is
a function/formula that can do this.