Lets brute force this and see how many combinations we have...
Grp 1: Gr, A, F
Grp 2: H, Ge, L, B
Grp 3: C, D, T
Combinations:
1. Gr, H, C
2. Gr, H, D
3. Gr, H, T
4. Gr, Ge, C
5. Gr, Ge, D
6. Gr, Ge, T
7. Gr, L, C
8. Gr, L, D
9. Gr, L, T
10. Gr, B, C
11. Gr, B, D
12. Gr, B...