| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
| dccbba |
0 | 0 | 100000 |
| dccbab |
0 | 0 | 100000 |
| dccabb |
0 | 0 | 100000 |
| dcbcba |
0 | 0 | 100000 |
| dcbcab |
0 | 0 | 100000 |
| dcbbca |
0 | 0 | 100000 |
| dcbbac |
0 | 0 | 100000 |
| dcbacb |
0 | 0 | 100000 |
| dcbabc |
0 | 0 | 100000 |
| dcacbb |
0 | 0 | 100000 |
| dcabcb |
0 | 0 | 100000 |
| dbccba |
0 | 0 | 100000 |
| dbccab |
0 | 0 | 100000 |
| dbcbca |
0 | 0 | 100000 |
| dbcacb |
0 | 0 | 100000 |
| dbbcca |
0 | 0 | 100000 |
|