Automatically Build Out A Table

I am building a table for a group of vlookups, and I have a bunch of variables that need to be defined. I need to identify each and every possible combination of about seven different terms.

E.g. this simple table:


A B C
1 red1 org1 yel1
2 red2 org2 yel2
leads to this list:


red1org1yel1
red2org2yel2
red1org2yel1
red2org1yel1
red1org2yel2
...
etc.
This model is almost exactly what I am starting with, except there will be six or seven columns, depending. Also, no two variables within a given column will mix with one another, e.g. no "red1red2yel1" etc.

Rather than do this by hand, I thought there must be a programmatic solution (or even a little formula).