Kakuro: sum 31 in 5 cells
A sum of 31 in 5 cells can be made 5 ways.
| Combination | Digit set |
|---|---|
| 1 + 6 + 7 + 8 + 9 | 16789 |
| 2 + 5 + 7 + 8 + 9 | 25789 |
| 3 + 4 + 7 + 8 + 9 | 34789 |
| 3 + 5 + 6 + 8 + 9 | 35689 |
| 4 + 5 + 6 + 7 + 9 | 45679 |
What this tells you
- There are 5 possibilities, so this clue alone does not decide the digits. Use crossing runs and any known cells to eliminate combinations.
- Digits in every combination: 9. Whatever the combination, the run must contain them.
- Every digit from 1 to 9 appears in at least one combination, so there is nothing to exclude outright.
Related sums
The digits left out of each combination form a combination for the mirror run: sum 14 in 4 cells (page).