Playing Connect Three
Interactivity
There are 36 possible dice combinations:
1 & -1
1 & -2
1 & -3
etc., etc...
Each combination allows for 3 different totals:
A + B
A - B
B - A
So there are 108 different arrangements to be considered.
Number of ways of achieving each total:
| possible totals |
number of ways |
| 12 |
1 |
| 11 |
2 |
| 10 |
3 |
| 9 |
3 |
| 8 |
3 |
| 7 |
3 |
| 6 |
3 |
| 5 |
5 |
| 4 |
7 |
| 3 |
8 |
| 2 |
7 |
| 1 |
6 |
| 0 |
6 |
| -1 |
6 |
| -2 |
7 |
| -3 |
8 |
| -4 |
7 |
| -5 |
5 |
| -6 |
3 |
| -7 |
3 |
| -8 |
3 |
| -9 |
3 |
| -10 |
3 |
| -11 |
2 |
| -12 |
1 |