K-man's pogo.com Informational Pages
This list is copied from the previous page, and shows a list of rules that apply to our remaining 8 cards after we have used all of our ten-value cards to make 16 21's:
To the best of my knowledge, there are precisely 19 combinations of 8 remaining cards that satisfy all the above rules. However, I might have missed some possible card combinations; if you know of a card combination that satisfies all the above rules and is not listed in the table below, please email me.
The card combinations for the remaining 8 cards are as follows (note that in each case below I indicate one 3-card 21 and one 4-card 21 and that the remaining 8th card must be a 2. Also note that at least one of the other 7 cards must be a 9, which makes it a bit easier to list every possible combination):
| Three-card 21 | Four-card 21 |
|---|---|
| 9-6-6 | 5-5-5-6 |
| 5-5-4-7 | |
| 5-5-3-8 | |
| 5-5-2-9 | |
| 9-7-5 | 4-6-5-6 |
| 4-6-4-7 | |
| 4-6-3-8 | |
| 4-6-2-9 | |
| 9-8-4 | 3-7-5-6 |
| 3-7-4-7 | |
| 3-7-3-8 | |
| 3-7-2-9 | |
| 9-9-3 | 2-8-5-6 |
| 2-8-4-7 | |
| 2-8-3-8 | |
| 2-8-2-9 | |
| 8-8-5 | 9-3-3-6 |
| 8-7-6 | 9-3-4-5 |
| 7-7-7 | 9-4-4-4 |