| Index | Code | Description | Number of solutions (in general) | Example |
|---|---|---|---|---|
| 1 | PPP | three points | 1 |  |
| 2 | LPP | one line and two points | 2 |  |
| 3 | LLP | two lines and a point | 2 |  |
| 4 | CPP | one circle and two points | 2 |  |
| 5 | LLL | three lines | 4 |  |
| 6 | CLP | one circle, one line, and a point | 4 |  |
| 7 | CCP | two circles and a point | 4 |  |
| 8 | CLL | one circle and two lines | 8 |  |
| 9 | CCL | two circles and a line | 8 |  |
| 10 | CCC | three circles (the classic problem) | 8 |  |