Hard hands — every combination

949 combinations

Hard hands contain a two-digit card (10–13) but are still solvable in whole numbers — the two-digit cards are the classroom difficulty driver.

Hands starting with 1211

1 1 1 11
1 1 1 12
1 1 1 13
1 1 10 12
1 1 10 13
1 1 11 11
1 1 11 12
1 1 11 13
1 1 12 12
1 1 12 13
1 1 13 13
1 1 2 10
1 1 2 11
1 1 2 12
1 1 2 13
1 1 3 10
1 1 3 11
1 1 3 12
1 1 3 13
1 1 4 10
1 1 4 12
1 1 6 12
1 1 7 10
1 1 9 13
1 10 10 12
1 10 11 12
1 10 12 12
1 10 12 13
1 11 11 12
1 11 11 13
1 11 12 12
1 11 12 13
1 11 13 13
1 12 12 12
1 12 12 13
1 12 13 13
1 2 10 11
1 2 10 12
1 2 10 13
1 2 11 11
1 2 11 12
1 2 11 13
1 2 12 12
1 2 12 13
1 2 13 13
1 2 2 10
1 2 2 11
1 2 2 12
1 2 2 13
1 2 3 10
1 2 3 11
1 2 3 12
1 2 3 13
1 2 4 10
1 2 4 11
1 2 4 12
1 2 4 13
1 2 5 10
1 2 5 12
1 2 5 13
1 2 6 10
1 2 6 11
1 2 6 12
1 2 6 13
1 2 7 10
1 2 7 11
1 2 7 12
1 2 8 10
1 2 8 13
1 2 9 11
1 2 9 12
1 2 9 13
1 3 10 10
1 3 10 11
1 3 10 12
1 3 11 11
1 3 11 12
1 3 12 12
1 3 12 13
1 3 13 13
1 3 3 10
1 3 3 11
1 3 3 12
1 3 4 10
1 3 4 11
1 3 4 12
1 3 4 13
1 3 5 10
1 3 5 11
1 3 5 12
1 3 5 13
1 3 6 10
1 3 6 11
1 3 6 12
1 3 6 13
1 3 7 10
1 3 7 12
1 3 7 13
1 3 8 10
1 3 8 11
1 3 8 12
1 3 8 13
1 3 9 10
1 3 9 11
1 3 9 12
1 3 9 13
1 4 10 10
1 4 10 11
1 4 10 12
1 4 12 12
1 4 4 10
1 4 4 11
1 4 4 12
1 4 5 10
1 4 5 11
1 4 5 12
1 4 5 13
1 4 6 10
1 4 6 11
1 4 6 12
1 4 6 13
1 4 7 11
1 4 7 12
1 4 7 13
1 4 8 11
1 4 8 12
1 4 8 13
1 4 9 10
1 4 9 11
1 4 9 12
1 4 9 13
1 5 10 10
1 5 10 11
1 5 10 12
1 5 10 13
1 5 11 11
1 5 11 12
1 5 12 12
1 5 5 10
1 5 5 11
1 5 5 12
1 5 5 13
1 5 6 10
1 5 6 11
1 5 6 12
1 5 6 13
1 5 7 10
1 5 7 11
1 5 7 12
1 5 7 13
1 5 8 10
1 5 8 11
1 5 8 12
1 5 8 13
1 5 9 10
1 5 9 11
1 5 9 12
1 5 9 13
1 6 10 12
1 6 10 13
1 6 11 12
1 6 11 13
1 6 12 12
1 6 12 13
1 6 6 10
1 6 6 11
1 6 6 12
1 6 6 13
1 6 7 10
1 6 7 11
1 6 7 12
1 6 8 10
1 6 8 11
1 6 8 12
1 6 8 13
1 6 9 10
1 6 9 12
1 6 9 13
1 7 10 12
1 7 10 13
1 7 12 12
1 7 12 13
1 7 13 13
1 7 7 10
1 7 7 11
1 7 7 12
1 7 8 10
1 7 8 11
1 7 8 12
1 7 9 10
1 7 9 11
1 7 9 12
1 7 9 13
1 8 10 11
1 8 10 12
1 8 10 13
1 8 11 12
1 8 11 13
1 8 8 10
1 8 8 11
1 8 8 12
1 8 9 11
1 8 9 12
1 8 9 13
1 9 10 12
1 9 10 13
1 9 11 11
1 9 11 12
1 9 11 13
1 9 12 12
1 9 9 12

Hands starting with 2205

2 10 10 11
2 10 10 12
2 10 10 13
2 10 11 11
2 10 11 12
2 10 11 13
2 10 12 13
2 11 11 11
2 11 11 12
2 11 11 13
2 11 12 12
2 11 12 13
2 11 13 13
2 12 12 12
2 12 12 13
2 12 13 13
2 13 13 13
2 2 10 10
2 2 10 11
2 2 10 13
2 2 11 12
2 2 11 13
2 2 12 12
2 2 12 13
2 2 2 10
2 2 2 11
2 2 2 12
2 2 2 13
2 2 3 10
2 2 3 11
2 2 3 12
2 2 3 13
2 2 4 10
2 2 4 11
2 2 4 12
2 2 4 13
2 2 5 10
2 2 5 11
2 2 5 12
2 2 6 10
2 2 6 11
2 2 6 12
2 2 6 13
2 2 7 10
2 2 7 12
2 2 7 13
2 2 8 10
2 2 8 12
2 2 9 10
2 2 9 11
2 2 9 12
2 3 10 10
2 3 10 12
2 3 10 13
2 3 11 11
2 3 11 12
2 3 11 13
2 3 12 12
2 3 12 13
2 3 13 13
2 3 3 10
2 3 3 11
2 3 3 12
2 3 3 13
2 3 4 10
2 3 4 11
2 3 4 12
2 3 4 13
2 3 5 10
2 3 5 11
2 3 5 13
2 3 6 10
2 3 6 11
2 3 6 12
2 3 6 13
2 3 7 10
2 3 7 11
2 3 7 12
2 3 7 13
2 3 8 10
2 3 8 11
2 3 8 12
2 3 8 13
2 3 9 10
2 3 9 12
2 3 9 13
2 4 10 11
2 4 10 12
2 4 10 13
2 4 11 11
2 4 11 12
2 4 12 12
2 4 13 13
2 4 4 10
2 4 4 11
2 4 4 12
2 4 4 13
2 4 5 10
2 4 5 11
2 4 5 12
2 4 5 13
2 4 6 10
2 4 6 11
2 4 6 12
2 4 6 13
2 4 7 10
2 4 7 11
2 4 7 12
2 4 8 10
2 4 8 11
2 4 8 12
2 4 8 13
2 4 9 10
2 4 9 12
2 4 9 13
2 5 10 10
2 5 10 11
2 5 10 12
2 5 10 13
2 5 11 12
2 5 12 12
2 5 12 13
2 5 5 11
2 5 5 12
2 5 5 13
2 5 6 10
2 5 6 11
2 5 6 12
2 5 6 13
2 5 7 10
2 5 7 11
2 5 7 13
2 5 8 10
2 5 8 11
2 5 8 12
2 5 8 13
2 5 9 10
2 5 9 11
2 5 9 12
2 6 10 10
2 6 10 11
2 6 10 12
2 6 10 13
2 6 11 12
2 6 11 13
2 6 12 12
2 6 12 13
2 6 6 10
2 6 6 11
2 6 6 12
2 6 6 13
2 6 7 10
2 6 7 11
2 6 7 12
2 6 7 13
2 6 8 10
2 6 8 11
2 6 8 12
2 6 8 13
2 6 9 10
2 6 9 11
2 6 9 12
2 7 10 10
2 7 10 11
2 7 10 12
2 7 11 12
2 7 12 12
2 7 12 13
2 7 7 11
2 7 7 12
2 7 7 13
2 7 8 11
2 7 8 12
2 7 8 13
2 7 9 10
2 7 9 11
2 7 9 13
2 8 10 10
2 8 10 11
2 8 10 12
2 8 10 13
2 8 11 11
2 8 11 12
2 8 12 12
2 8 12 13
2 8 13 13
2 8 8 10
2 8 8 11
2 8 8 12
2 8 8 13
2 8 9 10
2 8 9 11
2 8 9 12
2 8 9 13
2 9 10 10
2 9 10 11
2 9 10 12
2 9 10 13
2 9 11 11
2 9 11 13
2 9 12 13
2 9 13 13
2 9 9 11
2 9 9 12
2 9 9 13

Hands starting with 3160

3 10 10 12
3 10 11 12
3 10 11 13
3 11 11 12
3 11 12 12
3 12 12 12
3 12 12 13
3 12 13 13
3 3 10 13
3 3 11 12
3 3 11 13
3 3 12 12
3 3 12 13
3 3 3 10
3 3 3 11
3 3 3 12
3 3 4 11
3 3 4 12
3 3 4 13
3 3 5 10
3 3 5 12
3 3 5 13
3 3 6 10
3 3 6 11
3 3 6 12
3 3 6 13
3 3 7 11
3 3 7 12
3 3 7 13
3 3 8 10
3 3 8 12
3 3 8 13
3 3 9 10
3 3 9 11
3 3 9 12
3 3 9 13
3 4 10 10
3 4 10 12
3 4 10 13
3 4 11 12
3 4 11 13
3 4 12 12
3 4 12 13
3 4 4 10
3 4 4 11
3 4 4 12
3 4 4 13
3 4 5 10
3 4 5 11
3 4 5 12
3 4 5 13
3 4 6 10
3 4 6 11
3 4 6 12
3 4 6 13
3 4 7 10
3 4 7 11
3 4 7 12
3 4 8 10
3 4 8 11
3 4 8 12
3 4 8 13
3 4 9 11
3 4 9 12
3 4 9 13
3 5 10 10
3 5 10 11
3 5 10 12
3 5 10 13
3 5 11 11
3 5 11 12
3 5 12 12
3 5 12 13
3 5 13 13
3 5 5 11
3 5 5 12
3 5 6 10
3 5 6 11
3 5 6 12
3 5 6 13
3 5 7 10
3 5 7 11
3 5 7 12
3 5 7 13
3 5 8 11
3 5 8 12
3 5 8 13
3 5 9 10
3 5 9 12
3 5 9 13
3 6 10 10
3 6 10 11
3 6 10 12
3 6 11 11
3 6 11 12
3 6 11 13
3 6 12 12
3 6 12 13
3 6 13 13
3 6 6 10
3 6 6 11
3 6 6 12
3 6 6 13
3 6 7 10
3 6 7 12
3 6 7 13
3 6 8 10
3 6 8 12
3 6 8 13
3 6 9 10
3 6 9 11
3 6 9 12
3 6 9 13
3 7 10 10
3 7 10 11
3 7 10 13
3 7 11 11
3 7 11 12
3 7 12 12
3 7 12 13
3 7 13 13
3 7 7 10
3 7 7 12
3 7 7 13
3 7 8 11
3 7 8 12
3 7 8 13
3 7 9 10
3 7 9 11
3 7 9 12
3 7 9 13
3 8 10 10
3 8 10 11
3 8 10 12
3 8 11 11
3 8 11 12
3 8 12 12
3 8 12 13
3 8 13 13
3 8 8 10
3 8 8 11
3 8 8 12
3 8 9 10
3 8 9 11
3 8 9 12
3 8 9 13
3 9 10 10
3 9 10 11
3 9 10 12
3 9 10 13
3 9 11 11
3 9 11 12
3 9 11 13
3 9 12 12
3 9 12 13
3 9 13 13
3 9 9 10
3 9 9 11
3 9 9 12
3 9 9 13

Hands starting with 4122

4 10 10 11
4 10 10 12
4 10 11 12
4 10 11 13
4 10 12 12
4 10 12 13
4 11 12 13
4 12 12 12
4 4 10 10
4 4 10 12
4 4 10 13
4 4 11 12
4 4 11 13
4 4 12 12
4 4 12 13
4 4 4 10
4 4 4 11
4 4 4 12
4 4 5 10
4 4 5 11
4 4 5 12
4 4 5 13
4 4 6 10
4 4 6 11
4 4 6 12
4 4 6 13
4 4 7 10
4 4 7 12
4 4 7 13
4 4 8 10
4 4 8 11
4 4 8 12
4 4 8 13
4 4 9 11
4 4 9 12
4 5 10 10
4 5 10 11
4 5 10 12
4 5 10 13
4 5 11 11
4 5 11 12
4 5 11 13
4 5 12 12
4 5 12 13
4 5 13 13
4 5 5 10
4 5 6 10
4 5 6 11
4 5 6 12
4 5 6 13
4 5 7 10
4 5 7 11
4 5 7 12
4 5 7 13
4 5 8 10
4 5 8 11
4 5 8 12
4 5 8 13
4 5 9 10
4 5 9 12
4 5 9 13
4 6 10 10
4 6 10 11
4 6 10 12
4 6 11 11
4 6 11 12
4 6 12 12
4 6 12 13
4 6 13 13
4 6 6 10
4 6 6 12
4 6 7 10
4 6 7 12
4 6 8 10
4 6 8 12
4 6 8 13
4 6 9 10
4 6 9 12
4 6 9 13
4 7 10 10
4 7 10 11
4 7 10 12
4 7 11 11
4 7 11 12
4 7 11 13
4 7 12 12
4 7 12 13
4 7 13 13
4 7 7 11
4 7 8 10
4 7 8 11
4 7 8 12
4 7 8 13
4 7 9 10
4 7 9 11
4 7 9 12
4 7 9 13
4 8 10 10
4 8 10 11
4 8 10 12
4 8 11 11
4 8 11 12
4 8 11 13
4 8 12 12
4 8 12 13
4 8 13 13
4 8 8 10
4 8 8 11
4 8 8 12
4 8 8 13
4 8 9 10
4 8 9 11
4 8 9 12
4 8 9 13
4 9 10 11
4 9 10 12
4 9 10 13
4 9 11 11
4 9 11 12
4 9 12 12
4 9 9 10
4 9 9 12

Hands starting with 916

9 10 10 13
9 10 11 12
9 10 11 13
9 10 12 12
9 10 12 13
9 11 11 11
9 11 12 12
9 11 12 13
9 11 13 13
9 12 12 12
9 9 10 13
9 9 11 12
9 9 11 13
9 9 12 12
9 9 12 13
9 9 9 12

Hard hands — every combination

Hands starting with 1211

Hands starting with 2205

Hands starting with 3160

Hands starting with 4122

Hands starting with 578

Hands starting with 669

Hands starting with 735

Hands starting with 827

Hands starting with 916

Hands with a 10–13 card26