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:

- No ten-value cards remain
- No aces remain
- At least one of the remaining cards must be a 2
- At least one of the remaining must be a 9
- The remaining 8 cards will total 44
- In order to make 2 more 21's, you will have to make exactly one more 3-card 21, and exactly one 4-card 21, and you'll be left with a single remaining 2

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 |

Copyright© 2000-2007 Kennedy Lemke