| Problem Set | Product | Total Permutations |
| 1 | (3, 2, 2) | 210 |
| 2 | (3, 2, 2, 2) | 7560 |
| 3 | (4, 2, 2, 2) | 1,247,400 |
| 4 | (5, 3, 2, 2, 2) | 15,135,120 |
| 5 | (6, 3, 2, 2, 2) | 37,837,800 |
| 6 | (6, 4, 2, 2, 2) | 151,351,200 |
| 7 | (6, 4, 3, 2, 2) | 857,656,800 |
| 8 | (6, 4, 3, 3, 2) | 5,145,940,800 |