Solutions
This table contains all 495 possible single-digit 24 cards. A solution is shown, or "NONE" if the card has no solutions.
Note that this list only includes solutions where at least one number on the card is involved in each operation, and the right operand in each operation is a number from the card.
For cards with multiple solutions, only one is shown.
| 1, 1, 1, 1 | NONE |
| 1, 1, 1, 2 | NONE |
| 1, 1, 1, 3 | NONE |
| 1, 1, 1, 4 | NONE |
| 1, 1, 1, 5 | NONE |
| 1, 1, 1, 6 | NONE |
| 1, 1, 1, 7 | NONE |
| 1, 1, 1, 8 |
1 + 1 = 2 2 + 1 = 3 3 * 8 = 24 |
| 1, 1, 1, 9 | NONE |
| 1, 1, 2, 2 | NONE |
| 1, 1, 2, 3 | NONE |
| 1, 1, 2, 4 | NONE |
| 1, 1, 2, 5 | NONE |
| 1, 1, 2, 6 |
1 + 1 = 2 2 * 6 = 12 12 * 2 = 24 |
| 1, 1, 2, 7 | NONE |
| 1, 1, 2, 8 |
2 + 1 = 3 3 * 8 = 24 24 / 1 = 24 |
| 1, 1, 2, 9 | NONE |
| 1, 1, 3, 3 | NONE |
| 1, 1, 3, 4 |
1 + 1 = 2 2 * 4 = 8 8 * 3 = 24 |
| 1, 1, 3, 5 | NONE |
| 1, 1, 3, 6 |
3 + 1 = 4 4 * 6 = 24 24 / 1 = 24 |
| 1, 1, 3, 7 |
7 + 1 = 8 8 * 3 = 24 24 / 1 = 24 |
| 1, 1, 3, 8 |
8 * 3 = 24 24 - 1 = 23 23 + 1 = 24 |
| 1, 1, 3, 9 |
9 - 1 = 8 8 * 3 = 24 24 / 1 = 24 |
| 1, 1, 4, 4 |
4 + 1 = 5 5 + 1 = 6 6 * 4 = 24 |
| 1, 1, 4, 5 |
4 + 1 = 5 5 * 5 = 25 25 - 1 = 24 |
| 1, 1, 4, 6 |
6 * 4 = 24 24 - 1 = 23 23 + 1 = 24 |
| 1, 1, 4, 7 |
7 - 1 = 6 6 * 4 = 24 24 / 1 = 24 |
| 1, 1, 4, 8 |
4 - 1 = 3 3 * 8 = 24 24 / 1 = 24 |
| 1, 1, 4, 9 | NONE |
| 1, 1, 5, 5 |
5 * 5 = 25 25 / 1 = 25 25 - 1 = 24 |
| 1, 1, 5, 6 |
6 - 1 = 5 5 * 5 = 25 25 - 1 = 24 |
| 1, 1, 5, 7 | NONE |
| 1, 1, 5, 8 |
5 - 1 = 4 4 - 1 = 3 3 * 8 = 24 |
| 1, 1, 5, 9 | NONE |
| 1, 1, 6, 6 |
6 - 1 = 5 5 - 1 = 4 4 * 6 = 24 |
| 1, 1, 6, 7 | NONE |
| 1, 1, 6, 8 | NONE |
| 1, 1, 6, 9 |
1 + 1 = 2 2 * 9 = 18 18 + 6 = 24 |
| 1, 1, 7, 7 | NONE |
| 1, 1, 7, 8 | NONE |
| 1, 1, 7, 9 | NONE |
| 1, 1, 8, 8 |
1 + 1 = 2 2 * 8 = 16 16 + 8 = 24 |
| 1, 1, 8, 9 | NONE |
| 1, 1, 9, 9 | NONE |
| 1, 2, 2, 2 | NONE |
| 1, 2, 2, 3 | NONE |
| 1, 2, 2, 4 |
2 + 1 = 3 3 * 4 = 12 12 * 2 = 24 |
| 1, 2, 2, 5 |
5 + 1 = 6 6 * 2 = 12 12 * 2 = 24 |
| 1, 2, 2, 6 |
6 * 2 = 12 12 * 2 = 24 24 / 1 = 24 |
| 1, 2, 2, 7 |
7 - 1 = 6 6 * 2 = 12 12 * 2 = 24 |
| 1, 2, 2, 8 |
2 + 2 = 4 4 - 1 = 3 3 * 8 = 24 |
| 1, 2, 2, 9 |
9 + 2 = 11 11 + 1 = 12 12 * 2 = 24 |
| 1, 2, 3, 3 |
3 + 1 = 4 4 * 3 = 12 12 * 2 = 24 |
| 1, 2, 3, 4 |
4 * 3 = 12 12 * 2 = 24 24 / 1 = 24 |
| 1, 2, 3, 5 |
3 + 2 = 5 5 * 5 = 25 25 - 1 = 24 |
| 1, 2, 3, 6 |
6 + 2 = 8 8 * 3 = 24 24 / 1 = 24 |
| 1, 2, 3, 7 |
7 * 3 = 21 21 + 2 = 23 23 + 1 = 24 |
| 1, 2, 3, 8 |
8 + 3 = 11 11 + 1 = 12 12 * 2 = 24 |
| 1, 2, 3, 9 |
9 * 3 = 27 27 - 2 = 25 25 - 1 = 24 |
| 1, 2, 4, 4 |
4 + 2 = 6 6 * 4 = 24 24 / 1 = 24 |
| 1, 2, 4, 5 |
5 + 2 = 7 7 - 1 = 6 6 * 4 = 24 |
| 1, 2, 4, 6 |
2 - 1 = 1 1 * 6 = 6 6 * 4 = 24 |
| 1, 2, 4, 7 |
7 + 4 = 11 11 + 1 = 12 12 * 2 = 24 |
| 1, 2, 4, 8 |
8 + 4 = 12 12 * 2 = 24 24 / 1 = 24 |
| 1, 2, 4, 9 |
9 + 4 = 13 13 - 1 = 12 12 * 2 = 24 |
| 1, 2, 5, 5 |
5 * 5 = 25 25 - 2 = 23 23 + 1 = 24 |
| 1, 2, 5, 6 |
6 + 5 = 11 11 + 1 = 12 12 * 2 = 24 |
| 1, 2, 5, 7 |
7 - 2 = 5 5 * 5 = 25 25 - 1 = 24 |
| 1, 2, 5, 8 |
5 - 2 = 3 3 * 8 = 24 24 / 1 = 24 |
| 1, 2, 5, 9 |
9 * 2 = 18 18 + 5 = 23 23 + 1 = 24 |
| 1, 2, 6, 6 |
6 + 6 = 12 12 * 2 = 24 24 / 1 = 24 |
| 1, 2, 6, 7 |
7 + 1 = 8 8 * 6 = 48 48 / 2 = 24 |
| 1, 2, 6, 8 |
8 * 6 = 48 48 / 2 = 24 24 / 1 = 24 |
| 1, 2, 6, 9 |
9 * 2 = 18 18 + 6 = 24 24 / 1 = 24 |
| 1, 2, 7, 7 |
7 * 7 = 49 49 - 1 = 48 48 / 2 = 24 |
| 1, 2, 7, 8 |
8 * 2 = 16 16 + 7 = 23 23 + 1 = 24 |
| 1, 2, 7, 9 |
7 * 2 = 14 14 + 9 = 23 23 + 1 = 24 |
| 1, 2, 8, 8 |
8 * 2 = 16 16 + 8 = 24 24 / 1 = 24 |
| 1, 2, 8, 9 |
8 * 2 = 16 16 + 9 = 25 25 - 1 = 24 |
| 1, 2, 9, 9 | NONE |
| 1, 3, 3, 3 |
3 * 3 = 9 9 - 1 = 8 8 * 3 = 24 |
| 1, 3, 3, 4 |
3 + 3 = 6 6 * 4 = 24 24 / 1 = 24 |
| 1, 3, 3, 5 |
5 + 3 = 8 8 * 3 = 24 24 / 1 = 24 |
| 1, 3, 3, 6 |
6 + 1 = 7 7 * 3 = 21 21 + 3 = 24 |
| 1, 3, 3, 7 |
7 * 3 = 21 21 + 3 = 24 24 / 1 = 24 |
| 1, 3, 3, 8 |
8 - 1 = 7 7 * 3 = 21 21 + 3 = 24 |
| 1, 3, 3, 9 |
9 * 3 = 27 27 - 3 = 24 24 / 1 = 24 |
| 1, 3, 4, 4 |
4 + 4 = 8 8 * 3 = 24 24 / 1 = 24 |
| 1, 3, 4, 5 |
5 * 4 = 20 20 + 3 = 23 23 + 1 = 24 |
| 1, 3, 4, 6 | NONE |
| 1, 3, 4, 7 |
7 * 4 = 28 28 - 3 = 25 25 - 1 = 24 |
| 1, 3, 4, 8 |
8 - 3 = 5 5 + 1 = 6 6 * 4 = 24 |
| 1, 3, 4, 9 |
9 * 3 = 27 27 - 4 = 23 23 + 1 = 24 |
| 1, 3, 5, 5 | NONE |
| 1, 3, 5, 6 |
6 * 3 = 18 18 + 5 = 23 23 + 1 = 24 |
| 1, 3, 5, 7 | NONE |
| 1, 3, 5, 8 |
5 * 3 = 15 15 + 8 = 23 23 + 1 = 24 |
| 1, 3, 5, 9 |
5 * 3 = 15 15 + 9 = 24 24 / 1 = 24 |
| 1, 3, 6, 6 |
6 * 3 = 18 18 + 6 = 24 24 / 1 = 24 |
| 1, 3, 6, 7 |
6 * 3 = 18 18 + 7 = 25 25 - 1 = 24 |
| 1, 3, 6, 8 |
6 - 3 = 3 3 * 8 = 24 24 / 1 = 24 |
| 1, 3, 6, 9 |
3 - 1 = 2 2 * 9 = 18 18 + 6 = 24 |
| 1, 3, 7, 7 | NONE |
| 1, 3, 7, 8 |
7 - 3 = 4 4 - 1 = 3 3 * 8 = 24 |
| 1, 3, 7, 9 |
7 + 1 = 8 8 * 9 = 72 72 / 3 = 24 |
| 1, 3, 8, 8 |
8 + 1 = 9 9 * 8 = 72 72 / 3 = 24 |
| 1, 3, 8, 9 |
9 * 8 = 72 72 / 3 = 24 24 / 1 = 24 |
| 1, 3, 9, 9 |
9 - 1 = 8 8 * 9 = 72 72 / 3 = 24 |
| 1, 4, 4, 4 |
4 + 1 = 5 5 * 4 = 20 20 + 4 = 24 |
| 1, 4, 4, 5 |
5 * 4 = 20 20 + 4 = 24 24 / 1 = 24 |
| 1, 4, 4, 6 |
6 - 1 = 5 5 * 4 = 20 20 + 4 = 24 |
| 1, 4, 4, 7 |
4 * 4 = 16 16 + 7 = 23 23 + 1 = 24 |
| 1, 4, 4, 8 |
4 * 4 = 16 16 + 8 = 24 24 / 1 = 24 |
| 1, 4, 4, 9 |
4 * 4 = 16 16 + 9 = 25 25 - 1 = 24 |
| 1, 4, 5, 5 |
5 * 4 = 20 20 + 5 = 25 25 - 1 = 24 |
| 1, 4, 5, 6 | NONE |
| 1, 4, 5, 7 |
7 * 4 = 28 28 - 5 = 23 23 + 1 = 24 |
| 1, 4, 5, 8 |
5 - 1 = 4 4 * 4 = 16 16 + 8 = 24 |
| 1, 4, 5, 9 |
9 - 4 = 5 5 * 5 = 25 25 - 1 = 24 |
| 1, 4, 6, 6 |
4 - 1 = 3 3 * 6 = 18 18 + 6 = 24 |
| 1, 4, 6, 7 |
7 - 4 = 3 3 + 1 = 4 4 * 6 = 24 |
| 1, 4, 6, 8 |
8 - 4 = 4 4 * 6 = 24 24 / 1 = 24 |
| 1, 4, 6, 9 |
9 - 4 = 5 5 - 1 = 4 4 * 6 = 24 |
| 1, 4, 7, 7 | NONE |
| 1, 4, 7, 8 |
8 * 4 = 32 32 - 7 = 25 25 - 1 = 24 |
| 1, 4, 7, 9 | NONE |
| 1, 4, 8, 8 |
8 * 4 = 32 32 - 8 = 24 24 / 1 = 24 |
| 1, 4, 8, 9 |
8 * 4 = 32 32 - 9 = 23 23 + 1 = 24 |
| 1, 4, 9, 9 | NONE |
| 1, 5, 5, 5 | NONE |
| 1, 5, 5, 6 |
6 * 5 = 30 30 - 5 = 25 25 - 1 = 24 |
| 1, 5, 5, 7 | NONE |
| 1, 5, 5, 8 | NONE |
| 1, 5, 5, 9 | NONE |
| 1, 5, 6, 6 |
6 * 5 = 30 30 - 6 = 24 24 / 1 = 24 |
| 1, 5, 6, 7 |
6 * 5 = 30 30 - 7 = 23 23 + 1 = 24 |
| 1, 5, 6, 8 |
8 - 5 = 3 3 + 1 = 4 4 * 6 = 24 |
| 1, 5, 6, 9 |
9 - 5 = 4 4 * 6 = 24 24 / 1 = 24 |
| 1, 5, 7, 7 | NONE |
| 1, 5, 7, 8 |
7 - 5 = 2 2 + 1 = 3 3 * 8 = 24 |
| 1, 5, 7, 9 | NONE |
| 1, 5, 8, 8 |
8 - 5 = 3 3 * 8 = 24 24 / 1 = 24 |
| 1, 5, 8, 9 |
9 - 5 = 4 4 - 1 = 3 3 * 8 = 24 |
| 1, 5, 9, 9 |
9 + 9 = 18 18 + 5 = 23 23 + 1 = 24 |
| 1, 6, 6, 6 |
6 - 1 = 5 5 * 6 = 30 30 - 6 = 24 |
| 1, 6, 6, 7 | NONE |
| 1, 6, 6, 8 | NONE |
| 1, 6, 6, 9 |
9 - 6 = 3 3 + 1 = 4 4 * 6 = 24 |
| 1, 6, 7, 7 | NONE |
| 1, 6, 7, 8 | NONE |
| 1, 6, 7, 9 | NONE |
| 1, 6, 8, 8 |
8 - 6 = 2 2 + 1 = 3 3 * 8 = 24 |
| 1, 6, 8, 9 |
9 + 8 = 17 17 + 6 = 23 23 + 1 = 24 |
| 1, 6, 9, 9 |
9 + 9 = 18 18 + 6 = 24 24 / 1 = 24 |
| 1, 7, 7, 7 | NONE |
| 1, 7, 7, 8 | NONE |
| 1, 7, 7, 9 |
9 + 7 = 16 16 + 7 = 23 23 + 1 = 24 |
| 1, 7, 8, 8 |
8 + 8 = 16 16 + 7 = 23 23 + 1 = 24 |
| 1, 7, 8, 9 |
9 + 8 = 17 17 + 7 = 24 24 / 1 = 24 |
| 1, 7, 9, 9 |
9 + 9 = 18 18 + 7 = 25 25 - 1 = 24 |
| 1, 8, 8, 8 |
8 + 8 = 16 16 + 8 = 24 24 / 1 = 24 |
| 1, 8, 8, 9 |
9 + 8 = 17 17 + 8 = 25 25 - 1 = 24 |
| 1, 8, 9, 9 | NONE |
| 1, 9, 9, 9 | NONE |
| 2, 2, 2, 2 | NONE |
| 2, 2, 2, 3 |
3 * 2 = 6 6 * 2 = 12 12 * 2 = 24 |
| 2, 2, 2, 4 |
4 + 2 = 6 6 * 2 = 12 12 * 2 = 24 |
| 2, 2, 2, 5 |
5 * 2 = 10 10 + 2 = 12 12 * 2 = 24 |
| 2, 2, 2, 6 | NONE |
| 2, 2, 2, 7 |
7 * 2 = 14 14 - 2 = 12 12 * 2 = 24 |
| 2, 2, 2, 8 |
8 + 2 = 10 10 + 2 = 12 12 * 2 = 24 |
| 2, 2, 2, 9 |
9 + 2 = 11 11 * 2 = 22 22 + 2 = 24 |
| 2, 2, 3, 3 |
3 + 3 = 6 6 * 2 = 12 12 * 2 = 24 |
| 2, 2, 3, 4 |
4 + 2 = 6 6 + 2 = 8 8 * 3 = 24 |
| 2, 2, 3, 5 |
5 * 2 = 10 10 - 2 = 8 8 * 3 = 24 |
| 2, 2, 3, 6 |
6 - 2 = 4 4 * 3 = 12 12 * 2 = 24 |
| 2, 2, 3, 7 |
7 + 3 = 10 10 + 2 = 12 12 * 2 = 24 |
| 2, 2, 3, 8 |
8 * 3 = 24 24 - 2 = 22 22 + 2 = 24 |
| 2, 2, 3, 9 |
9 - 3 = 6 6 * 2 = 12 12 * 2 = 24 |
| 2, 2, 4, 4 |
4 * 2 = 8 8 + 4 = 12 12 * 2 = 24 |
| 2, 2, 4, 5 |
5 * 4 = 20 20 + 2 = 22 22 + 2 = 24 |
| 2, 2, 4, 6 |
6 * 4 = 24 24 - 2 = 22 22 + 2 = 24 |
| 2, 2, 4, 7 |
7 + 4 = 11 11 * 2 = 22 22 + 2 = 24 |
| 2, 2, 4, 8 |
4 + 2 = 6 6 * 8 = 48 48 / 2 = 24 |
| 2, 2, 4, 9 |
9 * 2 = 18 18 + 4 = 22 22 + 2 = 24 |
| 2, 2, 5, 5 |
5 + 5 = 10 10 + 2 = 12 12 * 2 = 24 |
| 2, 2, 5, 6 |
6 + 5 = 11 11 * 2 = 22 22 + 2 = 24 |
| 2, 2, 5, 7 | NONE |
| 2, 2, 5, 8 |
8 + 5 = 13 13 * 2 = 26 26 - 2 = 24 |
| 2, 2, 5, 9 |
9 + 5 = 14 14 - 2 = 12 12 * 2 = 24 |
| 2, 2, 6, 6 |
6 + 2 = 8 8 * 6 = 48 48 / 2 = 24 |
| 2, 2, 6, 7 |
7 + 6 = 13 13 * 2 = 26 26 - 2 = 24 |
| 2, 2, 6, 8 |
8 * 2 = 16 16 + 6 = 22 22 + 2 = 24 |
| 2, 2, 6, 9 |
9 * 2 = 18 18 - 6 = 12 12 * 2 = 24 |
| 2, 2, 7, 7 |
7 + 7 = 14 14 - 2 = 12 12 * 2 = 24 |
| 2, 2, 7, 8 |
7 * 2 = 14 14 + 8 = 22 22 + 2 = 24 |
| 2, 2, 7, 9 | NONE |
| 2, 2, 8, 8 |
8 - 2 = 6 6 * 8 = 48 48 / 2 = 24 |
| 2, 2, 8, 9 |
9 * 2 = 18 18 + 8 = 26 26 - 2 = 24 |
| 2, 2, 9, 9 | NONE |
| 2, 3, 3, 3 |
3 * 3 = 9 9 + 3 = 12 12 * 2 = 24 |
| 2, 3, 3, 4 | NONE |
| 2, 3, 3, 5 |
5 * 3 = 15 15 - 3 = 12 12 * 2 = 24 |
| 2, 3, 3, 6 |
6 + 3 = 9 9 + 3 = 12 12 * 2 = 24 |
| 2, 3, 3, 7 |
7 - 3 = 4 4 * 3 = 12 12 * 2 = 24 |
| 2, 3, 3, 8 |
3 + 3 = 6 6 * 8 = 48 48 / 2 = 24 |
| 2, 3, 3, 9 |
9 * 2 = 18 18 + 3 = 21 21 + 3 = 24 |
| 2, 3, 4, 4 |
4 * 4 = 16 16 * 3 = 48 48 / 2 = 24 |
| 2, 3, 4, 5 |
5 + 4 = 9 9 + 3 = 12 12 * 2 = 24 |
| 2, 3, 4, 6 |
6 * 3 = 18 18 + 4 = 22 22 + 2 = 24 |
| 2, 3, 4, 7 |
7 + 3 = 10 10 * 2 = 20 20 + 4 = 24 |
| 2, 3, 4, 8 |
8 - 4 = 4 4 * 3 = 12 12 * 2 = 24 |
| 2, 3, 4, 9 |
9 + 3 = 12 12 * 4 = 48 48 / 2 = 24 |
| 2, 3, 5, 5 |
5 * 5 = 25 25 - 3 = 22 22 + 2 = 24 |
| 2, 3, 5, 6 |
5 + 3 = 8 8 * 6 = 48 48 / 2 = 24 |
| 2, 3, 5, 7 |
5 * 3 = 15 15 + 7 = 22 22 + 2 = 24 |
| 2, 3, 5, 8 |
8 * 2 = 16 16 + 5 = 21 21 + 3 = 24 |
| 2, 3, 5, 9 |
9 * 3 = 27 27 - 5 = 22 22 + 2 = 24 |
| 2, 3, 6, 6 |
6 * 6 = 36 36 / 3 = 12 12 * 2 = 24 |
| 2, 3, 6, 7 |
7 * 6 = 42 42 / 2 = 21 21 + 3 = 24 |
| 2, 3, 6, 8 |
6 * 3 = 18 18 + 8 = 26 26 - 2 = 24 |
| 2, 3, 6, 9 |
9 + 6 = 15 15 - 3 = 12 12 * 2 = 24 |
| 2, 3, 7, 7 |
7 * 2 = 14 14 + 7 = 21 21 + 3 = 24 |
| 2, 3, 7, 8 |
8 + 7 = 15 15 - 3 = 12 12 * 2 = 24 |
| 2, 3, 7, 9 |
9 + 7 = 16 16 * 3 = 48 48 / 2 = 24 |
| 2, 3, 8, 8 |
8 + 8 = 16 16 * 3 = 48 48 / 2 = 24 |
| 2, 3, 8, 9 |
9 - 3 = 6 6 * 8 = 48 48 / 2 = 24 |
| 2, 3, 9, 9 |
9 / 3 = 3 3 + 9 = 12 12 * 2 = 24 |
| 2, 4, 4, 4 |
4 + 4 = 8 8 + 4 = 12 12 * 2 = 24 |
| 2, 4, 4, 5 |
5 + 2 = 7 7 * 4 = 28 28 - 4 = 24 |
| 2, 4, 4, 6 |
4 * 4 = 16 16 + 6 = 22 22 + 2 = 24 |
| 2, 4, 4, 7 |
7 - 4 = 3 3 * 4 = 12 12 * 2 = 24 |
| 2, 4, 4, 8 |
8 + 4 = 12 12 * 4 = 48 48 / 2 = 24 |
| 2, 4, 4, 9 |
9 - 2 = 7 7 * 4 = 28 28 - 4 = 24 |
| 2, 4, 5, 5 |
5 + 5 = 10 10 * 2 = 20 20 + 4 = 24 |
| 2, 4, 5, 6 |
6 * 5 = 30 30 - 4 = 26 26 - 2 = 24 |
| 2, 4, 5, 7 |
7 + 5 = 12 12 * 4 = 48 48 / 2 = 24 |
| 2, 4, 5, 8 |
8 - 5 = 3 3 * 4 = 12 12 * 2 = 24 |
| 2, 4, 5, 9 |
9 + 5 = 14 14 * 2 = 28 28 - 4 = 24 |
| 2, 4, 6, 6 |
6 + 6 = 12 12 * 4 = 48 48 / 2 = 24 |
| 2, 4, 6, 7 |
7 * 4 = 28 28 - 6 = 22 22 + 2 = 24 |
| 2, 4, 6, 8 |
8 * 4 = 32 32 - 6 = 26 26 - 2 = 24 |
| 2, 4, 6, 9 |
9 - 6 = 3 3 * 4 = 12 12 * 2 = 24 |
| 2, 4, 7, 7 |
7 + 7 = 14 14 * 2 = 28 28 - 4 = 24 |
| 2, 4, 7, 8 |
8 * 7 = 56 56 / 2 = 28 28 - 4 = 24 |
| 2, 4, 7, 9 |
9 + 7 = 16 16 - 4 = 12 12 * 2 = 24 |
| 2, 4, 8, 8 |
8 + 8 = 16 16 - 4 = 12 12 * 2 = 24 |
| 2, 4, 8, 9 |
9 - 4 = 5 5 - 2 = 3 3 * 8 = 24 |
| 2, 4, 9, 9 |
9 + 9 = 18 18 + 4 = 22 22 + 2 = 24 |
| 2, 5, 5, 5 | NONE |
| 2, 5, 5, 6 | NONE |
| 2, 5, 5, 7 |
7 * 2 = 14 14 + 5 = 19 19 + 5 = 24 |
| 2, 5, 5, 8 |
5 / 5 = 1 1 + 2 = 3 3 * 8 = 24 |
| 2, 5, 5, 9 |
5 * 2 = 10 10 + 9 = 19 19 + 5 = 24 |
| 2, 5, 6, 6 |
5 - 2 = 3 3 * 6 = 18 18 + 6 = 24 |
| 2, 5, 6, 7 |
7 - 5 = 2 2 * 6 = 12 12 * 2 = 24 |
| 2, 5, 6, 8 |
6 * 5 = 30 30 - 8 = 22 22 + 2 = 24 |
| 2, 5, 6, 9 |
6 * 5 = 30 30 / 2 = 15 15 + 9 = 24 |
| 2, 5, 7, 7 |
5 * 2 = 10 10 + 7 = 17 17 + 7 = 24 |
| 2, 5, 7, 8 |
5 * 2 = 10 10 - 7 = 3 3 * 8 = 24 |
| 2, 5, 7, 9 |
7 * 5 = 35 35 - 9 = 26 26 - 2 = 24 |
| 2, 5, 8, 8 |
8 * 5 = 40 40 + 8 = 48 48 / 2 = 24 |
| 2, 5, 8, 9 |
9 + 8 = 17 17 + 5 = 22 22 + 2 = 24 |
| 2, 5, 9, 9 | NONE |
| 2, 6, 6, 6 |
6 * 6 = 36 36 / 2 = 18 18 + 6 = 24 |
| 2, 6, 6, 7 |
7 * 6 = 42 42 + 6 = 48 48 / 2 = 24 |
| 2, 6, 6, 8 |
8 - 6 = 2 2 * 6 = 12 12 * 2 = 24 |
| 2, 6, 6, 9 |
9 * 6 = 54 54 - 6 = 48 48 / 2 = 24 |
| 2, 6, 7, 7 | NONE |
| 2, 6, 7, 8 |
8 + 7 = 15 15 * 2 = 30 30 - 6 = 24 |
| 2, 6, 7, 9 |
9 + 7 = 16 16 + 6 = 22 22 + 2 = 24 |
| 2, 6, 8, 8 |
8 + 8 = 16 16 + 6 = 22 22 + 2 = 24 |
| 2, 6, 8, 9 |
9 * 8 = 72 72 / 6 = 12 12 * 2 = 24 |
| 2, 6, 9, 9 |
9 + 9 = 18 18 - 6 = 12 12 * 2 = 24 |
| 2, 7, 7, 7 | NONE |
| 2, 7, 7, 8 |
8 + 7 = 15 15 + 7 = 22 22 + 2 = 24 |
| 2, 7, 7, 9 | NONE |
| 2, 7, 8, 8 |
8 * 7 = 56 56 - 8 = 48 48 / 2 = 24 |
| 2, 7, 8, 9 |
9 + 7 = 16 16 * 2 = 32 32 - 8 = 24 |
| 2, 7, 9, 9 | NONE |
| 2, 8, 8, 8 |
8 * 8 = 64 64 / 2 = 32 32 - 8 = 24 |
| 2, 8, 8, 9 |
9 - 8 = 1 1 + 2 = 3 3 * 8 = 24 |
| 2, 8, 9, 9 |
9 + 9 = 18 18 + 8 = 26 26 - 2 = 24 |
| 2, 9, 9, 9 | NONE |
| 3, 3, 3, 3 |
3 * 3 = 9 9 * 3 = 27 27 - 3 = 24 |
| 3, 3, 3, 4 |
4 + 3 = 7 7 * 3 = 21 21 + 3 = 24 |
| 3, 3, 3, 5 | NONE |
| 3, 3, 3, 6 |
6 * 3 = 18 18 + 3 = 21 21 + 3 = 24 |
| 3, 3, 3, 7 |
3 / 3 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 3, 3, 8 |
8 * 3 = 24 24 - 3 = 21 21 + 3 = 24 |
| 3, 3, 3, 9 | NONE |
| 3, 3, 4, 4 |
4 * 3 = 12 12 - 4 = 8 8 * 3 = 24 |
| 3, 3, 4, 5 |
5 + 4 = 9 9 * 3 = 27 27 - 3 = 24 |
| 3, 3, 4, 6 |
6 * 4 = 24 24 - 3 = 21 21 + 3 = 24 |
| 3, 3, 4, 7 |
7 + 4 = 11 11 - 3 = 8 8 * 3 = 24 |
| 3, 3, 4, 8 |
4 - 3 = 1 1 * 8 = 8 8 * 3 = 24 |
| 3, 3, 4, 9 |
4 * 3 = 12 12 + 9 = 21 21 + 3 = 24 |
| 3, 3, 5, 5 | NONE |
| 3, 3, 5, 6 |
5 * 3 = 15 15 + 6 = 21 21 + 3 = 24 |
| 3, 3, 5, 7 |
5 * 3 = 15 15 - 7 = 8 8 * 3 = 24 |
| 3, 3, 5, 8 | NONE |
| 3, 3, 5, 9 |
5 + 3 = 8 8 * 9 = 72 72 / 3 = 24 |
| 3, 3, 6, 6 |
6 / 3 = 2 2 + 6 = 8 8 * 3 = 24 |
| 3, 3, 6, 7 |
6 - 3 = 3 3 * 7 = 21 21 + 3 = 24 |
| 3, 3, 6, 8 |
6 + 3 = 9 9 * 8 = 72 72 / 3 = 24 |
| 3, 3, 6, 9 |
9 * 3 = 27 27 - 6 = 21 21 + 3 = 24 |
| 3, 3, 7, 7 | NONE |
| 3, 3, 7, 8 |
3 * 3 = 9 9 + 8 = 17 17 + 7 = 24 |
| 3, 3, 7, 9 |
9 * 7 = 63 63 / 3 = 21 21 + 3 = 24 |
| 3, 3, 8, 8 | NONE |
| 3, 3, 8, 9 |
9 - 3 = 6 6 - 3 = 3 3 * 8 = 24 |
| 3, 3, 9, 9 |
9 + 9 = 18 18 + 3 = 21 21 + 3 = 24 |
| 3, 4, 4, 4 |
4 + 3 = 7 7 * 4 = 28 28 - 4 = 24 |
| 3, 4, 4, 5 |
4 * 4 = 16 16 + 5 = 21 21 + 3 = 24 |
| 3, 4, 4, 6 |
6 - 4 = 2 2 * 4 = 8 8 * 3 = 24 |
| 3, 4, 4, 7 |
4 / 4 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 4, 4, 8 |
8 - 4 = 4 4 + 4 = 8 8 * 3 = 24 |
| 3, 4, 4, 9 |
4 + 4 = 8 8 * 9 = 72 72 / 3 = 24 |
| 3, 4, 5, 5 |
5 * 5 = 25 25 - 4 = 21 21 + 3 = 24 |
| 3, 4, 5, 6 |
5 - 4 = 1 1 + 3 = 4 4 * 6 = 24 |
| 3, 4, 5, 7 |
5 * 4 = 20 20 + 7 = 27 27 - 3 = 24 |
| 3, 4, 5, 8 |
8 * 4 = 32 32 - 5 = 27 27 - 3 = 24 |
| 3, 4, 5, 9 |
9 - 5 = 4 4 + 4 = 8 8 * 3 = 24 |
| 3, 4, 6, 6 |
6 + 6 = 12 12 - 4 = 8 8 * 3 = 24 |
| 3, 4, 6, 7 | NONE |
| 3, 4, 6, 8 |
8 + 4 = 12 12 * 6 = 72 72 / 3 = 24 |
| 3, 4, 6, 9 |
9 - 6 = 3 3 + 3 = 6 6 * 4 = 24 |
| 3, 4, 7, 7 |
7 * 4 = 28 28 - 7 = 21 21 + 3 = 24 |
| 3, 4, 7, 8 |
7 - 3 = 4 4 * 4 = 16 16 + 8 = 24 |
| 3, 4, 7, 9 |
7 - 4 = 3 3 * 9 = 27 27 - 3 = 24 |
| 3, 4, 8, 8 | NONE |
| 3, 4, 8, 9 |
9 + 8 = 17 17 + 4 = 21 21 + 3 = 24 |
| 3, 4, 9, 9 |
9 * 4 = 36 36 - 9 = 27 27 - 3 = 24 |
| 3, 5, 5, 5 | NONE |
| 3, 5, 5, 6 |
5 + 5 = 10 10 * 3 = 30 30 - 6 = 24 |
| 3, 5, 5, 7 |
5 / 5 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 5, 5, 8 |
8 - 5 = 3 3 + 5 = 8 8 * 3 = 24 |
| 3, 5, 5, 9 | NONE |
| 3, 5, 6, 6 |
6 - 5 = 1 1 + 3 = 4 4 * 6 = 24 |
| 3, 5, 6, 7 |
7 + 5 = 12 12 * 6 = 72 72 / 3 = 24 |
| 3, 5, 6, 8 |
6 - 5 = 1 1 * 8 = 8 8 * 3 = 24 |
| 3, 5, 6, 9 |
6 * 5 = 30 30 - 9 = 21 21 + 3 = 24 |
| 3, 5, 7, 7 | NONE |
| 3, 5, 7, 8 |
8 - 5 = 3 3 * 7 = 21 21 + 3 = 24 |
| 3, 5, 7, 9 |
9 + 7 = 16 16 + 5 = 21 21 + 3 = 24 |
| 3, 5, 8, 8 |
8 + 8 = 16 16 + 5 = 21 21 + 3 = 24 |
| 3, 5, 8, 9 |
8 - 5 = 3 3 * 9 = 27 27 - 3 = 24 |
| 3, 5, 9, 9 |
9 * 5 = 45 45 / 3 = 15 15 + 9 = 24 |
| 3, 6, 6, 6 |
6 + 6 = 12 12 * 6 = 72 72 / 3 = 24 |
| 3, 6, 6, 7 |
6 / 6 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 6, 6, 8 |
8 - 6 = 2 2 + 6 = 8 8 * 3 = 24 |
| 3, 6, 6, 9 |
9 + 6 = 15 15 + 6 = 21 21 + 3 = 24 |
| 3, 6, 7, 7 |
7 + 7 = 14 14 - 6 = 8 8 * 3 = 24 |
| 3, 6, 7, 8 |
8 + 7 = 15 15 + 6 = 21 21 + 3 = 24 |
| 3, 6, 7, 9 |
9 - 6 = 3 3 * 7 = 21 21 + 3 = 24 |
| 3, 6, 8, 8 |
8 / 8 = 1 1 + 3 = 4 4 * 6 = 24 |
| 3, 6, 8, 9 |
9 - 8 = 1 1 + 3 = 4 4 * 6 = 24 |
| 3, 6, 9, 9 |
9 - 6 = 3 3 * 9 = 27 27 - 3 = 24 |
| 3, 7, 7, 7 |
7 + 7 = 14 14 + 7 = 21 21 + 3 = 24 |
| 3, 7, 7, 8 |
8 - 7 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 7, 7, 9 | NONE |
| 3, 7, 8, 8 |
8 / 8 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 7, 8, 9 |
9 - 8 = 1 1 + 7 = 8 8 * 3 = 24 |
| 3, 7, 9, 9 |
9 * 7 = 63 63 + 9 = 72 72 / 3 = 24 |
| 3, 8, 8, 8 |
8 * 8 = 64 64 + 8 = 72 72 / 3 = 24 |
| 3, 8, 8, 9 |
9 - 8 = 1 1 * 8 = 8 8 * 3 = 24 |
| 3, 8, 9, 9 |
9 - 9 = 0 0 + 8 = 8 8 * 3 = 24 |
| 3, 9, 9, 9 |
9 + 9 = 18 18 + 9 = 27 27 - 3 = 24 |
| 4, 4, 4, 4 |
4 * 4 = 16 16 + 4 = 20 20 + 4 = 24 |
| 4, 4, 4, 5 |
4 / 4 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 4, 4, 6 |
6 * 4 = 24 24 - 4 = 20 20 + 4 = 24 |
| 4, 4, 4, 7 | NONE |
| 4, 4, 4, 8 |
8 * 4 = 32 32 - 4 = 28 28 - 4 = 24 |
| 4, 4, 4, 9 |
9 - 4 = 5 5 * 4 = 20 20 + 4 = 24 |
| 4, 4, 5, 5 |
5 + 5 = 10 10 - 4 = 6 6 * 4 = 24 |
| 4, 4, 5, 6 |
5 - 4 = 1 1 * 6 = 6 6 * 4 = 24 |
| 4, 4, 5, 7 |
7 - 5 = 2 2 + 4 = 6 6 * 4 = 24 |
| 4, 4, 5, 8 |
8 - 4 = 4 4 * 5 = 20 20 + 4 = 24 |
| 4, 4, 5, 9 | NONE |
| 4, 4, 6, 6 | NONE |
| 4, 4, 6, 7 | NONE |
| 4, 4, 6, 8 |
8 - 6 = 2 2 + 4 = 6 6 * 4 = 24 |
| 4, 4, 6, 9 |
9 * 4 = 36 36 / 6 = 6 6 * 4 = 24 |
| 4, 4, 7, 7 | NONE |
| 4, 4, 7, 8 |
7 * 4 = 28 28 - 8 = 20 20 + 4 = 24 |
| 4, 4, 7, 9 |
9 + 7 = 16 16 + 4 = 20 20 + 4 = 24 |
| 4, 4, 8, 8 |
8 + 8 = 16 16 + 4 = 20 20 + 4 = 24 |
| 4, 4, 8, 9 |
9 * 4 = 36 36 - 8 = 28 28 - 4 = 24 |
| 4, 4, 9, 9 | NONE |
| 4, 5, 5, 5 |
5 * 5 = 25 25 - 5 = 20 20 + 4 = 24 |
| 4, 5, 5, 6 |
6 - 5 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 5, 5, 7 | NONE |
| 4, 5, 5, 8 | NONE |
| 4, 5, 5, 9 |
9 - 5 = 4 4 * 5 = 20 20 + 4 = 24 |
| 4, 5, 6, 6 |
6 / 6 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 5, 6, 7 |
7 - 6 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 5, 6, 8 |
5 - 6 = -1 -1 + 4 = 3 3 * 8 = 24 |
| 4, 5, 6, 9 |
9 + 6 = 15 15 + 5 = 20 20 + 4 = 24 |
| 4, 5, 7, 7 |
7 * 5 = 35 35 - 7 = 28 28 - 4 = 24 |
| 4, 5, 7, 8 |
8 + 7 = 15 15 + 5 = 20 20 + 4 = 24 |
| 4, 5, 7, 9 |
9 - 5 = 4 4 * 7 = 28 28 - 4 = 24 |
| 4, 5, 8, 8 |
8 / 8 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 5, 8, 9 |
9 - 8 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 5, 9, 9 |
9 / 9 = 1 1 + 5 = 6 6 * 4 = 24 |
| 4, 6, 6, 6 |
6 - 6 = 0 0 + 6 = 6 6 * 4 = 24 |
| 4, 6, 6, 7 |
7 - 6 = 1 1 * 6 = 6 6 * 4 = 24 |
| 4, 6, 6, 8 |
8 + 6 = 14 14 + 6 = 20 20 + 4 = 24 |
| 4, 6, 6, 9 |
6 - 4 = 2 2 * 9 = 18 18 + 6 = 24 |
| 4, 6, 7, 7 |
7 + 7 = 14 14 + 6 = 20 20 + 4 = 24 |
| 4, 6, 7, 8 |
8 - 7 = 1 1 * 6 = 6 6 * 4 = 24 |
| 4, 6, 7, 9 |
9 + 7 = 16 16 * 6 = 96 96 / 4 = 24 |
| 4, 6, 8, 8 |
8 + 8 = 16 16 * 6 = 96 96 / 4 = 24 |
| 4, 6, 8, 9 |
9 - 8 = 1 1 * 6 = 6 6 * 4 = 24 |
| 4, 6, 9, 9 |
9 - 9 = 0 0 + 6 = 6 6 * 4 = 24 |
| 4, 7, 7, 7 | NONE |
| 4, 7, 7, 8 |
7 - 8 = -1 -1 + 7 = 6 6 * 4 = 24 |
| 4, 7, 7, 9 | NONE |
| 4, 7, 8, 8 |
7 - 8 = -1 -1 + 4 = 3 3 * 8 = 24 |
| 4, 7, 8, 9 |
8 - 9 = -1 -1 + 7 = 6 6 * 4 = 24 |
| 4, 7, 9, 9 | NONE |
| 4, 8, 8, 8 |
8 * 8 = 64 64 / 4 = 16 16 + 8 = 24 |
| 4, 8, 8, 9 |
8 - 9 = -1 -1 + 4 = 3 3 * 8 = 24 |
| 4, 8, 9, 9 | NONE |
| 4, 9, 9, 9 | NONE |
| 5, 5, 5, 5 | NONE |
| 5, 5, 5, 6 |
5 * 5 = 25 25 - 6 = 19 19 + 5 = 24 |
| 5, 5, 5, 7 | NONE |
| 5, 5, 5, 8 | NONE |
| 5, 5, 5, 9 |
9 + 5 = 14 14 + 5 = 19 19 + 5 = 24 |
| 5, 5, 6, 6 |
5 - 6 = -1 -1 + 5 = 4 4 * 6 = 24 |
| 5, 5, 6, 7 |
7 * 5 = 35 35 - 6 = 29 29 - 5 = 24 |
| 5, 5, 6, 8 |
8 + 6 = 14 14 + 5 = 19 19 + 5 = 24 |
| 5, 5, 6, 9 | NONE |
| 5, 5, 7, 7 |
7 + 7 = 14 14 + 5 = 19 19 + 5 = 24 |
| 5, 5, 7, 8 |
5 * 5 = 25 25 - 8 = 17 17 + 7 = 24 |
| 5, 5, 7, 9 | NONE |
| 5, 5, 8, 8 | NONE |
| 5, 5, 8, 9 |
5 * 5 = 25 25 - 9 = 16 16 + 8 = 24 |
| 5, 5, 9, 9 | NONE |
| 5, 6, 6, 6 | NONE |
| 5, 6, 6, 7 |
7 + 6 = 13 13 + 6 = 19 19 + 5 = 24 |
| 5, 6, 6, 8 |
8 - 5 = 3 3 * 6 = 18 18 + 6 = 24 |
| 5, 6, 6, 9 | NONE |
| 5, 6, 7, 7 | NONE |
| 5, 6, 7, 8 |
7 - 8 = -1 -1 + 5 = 4 4 * 6 = 24 |
| 5, 6, 7, 9 |
7 - 5 = 2 2 * 9 = 18 18 + 6 = 24 |
| 5, 6, 8, 8 |
6 - 8 = -2 -2 + 5 = 3 3 * 8 = 24 |
| 5, 6, 8, 9 |
9 + 6 = 15 15 * 8 = 120 120 / 5 = 24 |
| 5, 6, 9, 9 |
9 - 6 = 3 3 * 5 = 15 15 + 9 = 24 |
| 5, 7, 7, 7 | NONE |
| 5, 7, 7, 8 | NONE |
| 5, 7, 7, 9 | NONE |
| 5, 7, 8, 8 |
8 + 7 = 15 15 * 8 = 120 120 / 5 = 24 |
| 5, 7, 8, 9 |
8 * 5 = 40 40 - 9 = 31 31 - 7 = 24 |
| 5, 7, 9, 9 | NONE |
| 5, 8, 8, 8 |
8 * 5 = 40 40 - 8 = 32 32 - 8 = 24 |
| 5, 8, 8, 9 |
9 - 5 = 4 4 * 8 = 32 32 - 8 = 24 |
| 5, 8, 9, 9 | NONE |
| 5, 9, 9, 9 | NONE |
| 6, 6, 6, 6 |
6 + 6 = 12 12 + 6 = 18 18 + 6 = 24 |
| 6, 6, 6, 7 | NONE |
| 6, 6, 6, 8 |
6 - 8 = -2 -2 + 6 = 4 4 * 6 = 24 |
| 6, 6, 6, 9 |
9 - 6 = 3 3 * 6 = 18 18 + 6 = 24 |
| 6, 6, 7, 7 | NONE |
| 6, 6, 7, 8 | NONE |
| 6, 6, 7, 9 |
7 - 9 = -2 -2 + 6 = 4 4 * 6 = 24 |
| 6, 6, 8, 8 | NONE |
| 6, 6, 8, 9 |
8 - 6 = 2 2 * 9 = 18 18 + 6 = 24 |
| 6, 6, 9, 9 | NONE |
| 6, 7, 7, 7 | NONE |
| 6, 7, 7, 8 | NONE |
| 6, 7, 7, 9 | NONE |
| 6, 7, 8, 8 | NONE |
| 6, 7, 8, 9 | NONE |
| 6, 7, 9, 9 |
9 - 7 = 2 2 * 9 = 18 18 + 6 = 24 |
| 6, 8, 8, 8 |
8 - 6 = 2 2 * 8 = 16 16 + 8 = 24 |
| 6, 8, 8, 9 |
8 + 8 = 16 16 * 9 = 144 144 / 6 = 24 |
| 6, 8, 9, 9 |
9 + 9 = 18 18 * 8 = 144 144 / 6 = 24 |
| 6, 9, 9, 9 | NONE |
| 7, 7, 7, 7 | NONE |
| 7, 7, 7, 8 | NONE |
| 7, 7, 7, 9 | NONE |
| 7, 7, 8, 8 | NONE |
| 7, 7, 8, 9 | NONE |
| 7, 7, 9, 9 | NONE |
| 7, 8, 8, 8 | NONE |
| 7, 8, 8, 9 |
9 - 7 = 2 2 * 8 = 16 16 + 8 = 24 |
| 7, 8, 9, 9 | NONE |
| 7, 9, 9, 9 | NONE |
| 8, 8, 8, 8 | NONE |
| 8, 8, 8, 9 | NONE |
| 8, 8, 9, 9 | NONE |
| 8, 9, 9, 9 | NONE |
| 9, 9, 9, 9 | NONE |