| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| Ababcc |
0 | 0 | 24988 |
| Abacbc |
0 | 0 | 24996 |
| Abcacb |
0 | 0 | 24998 |
| Abccab |
0 | 0 | 25000 |
| Abcabc |
0 | 0 | 25000 |
| Acbabc |
0 | 0 | 25000 |
| Accbba |
0 | 0 | 25000 |
| Acbcba |
0 | 1116 | 23884 |
| Abcbac |
0 | 5605 | 19395 |
| Acbbac |
0 | 5975 | 19025 |
| Abccba |
0 | 6149 | 18851 |
| Abcbca |
0 | 7962 | 17038 |
| Abbcca |
0 | 9777 | 15223 |
| Acbbca |
0 | 12691 | 12309 |
| Abbcac |
34 | 13477 | 11489 |
| Abbacc |
573 | 8991 | 15436 |
|