Spice up with Heinz 57-ways!

Oct 29, 2007 11:30 PM

A year or two ago I did a column on the famous (or infamous) 5-way-10, which was once fairly popular and was used to put an inexperienced Keno writer in his place.

If you recall, the original 57-way-10 was marked using 18 spots, grouped 3-3-3-2-2-2-1-1-1. This ticket also had a 57-way-8 on it. I have since done a little more research in this area, and the results are interesting, to say the least.

I have uncovered a lot more tickets that have 57-ways on them, including some more 57-way-10s. First consider this ticket, 16 spots, grouped 4 3 3 1 1 1 1 1 1:

 

1-way-16  6-way-15  15-way-14  22-way-13
28-way-12  42-way-11  57-way-10  58-way-9
54-way-8  58-way-7  57-way-6  42-way-5
28-way-4  22-way-3  15-way-2  6-way-1 

 

This is the smallest amount of numbers that you can use to mark a 57-way-10. In addition, there is also a 57-way-6 on it!

Or consider this ticket, 19 numbers, grouped 3 3 3 2 2 2 2 1 1:

 

1-way-19  2-way-18  5-way-17  11-way-16
16-way-15  27-way-14  37-way-13  44-way-12
56-way-11  57-way-10  57-way-9  56-way-8
44-way-7  37-way-6  27-way-5  16-way-4
11-way-3  5-way-2 2-way-1  

 

This ticket may be produced by taking the original 57-way-10, and changing one of the kings to a deuce. It not only still has a 57-way-10, but it also has a 57-way-9 instead of the original 57-way-8!

Or consider this ticket, 17 spots grouped 3 3 2 2 2 2 1 1 1:

 

1-way-17  3-way-16 7-way-15
15-way-14 24-way-13 36-way-12
49-way-11 57-way-10 64-way-9
64-way-8 57-way-7  49-way-6
36-way-5  24-way-4 15-way-3
7-way-2 3-way-1   

 

This ticket may be produced from the original just by changing one of the 3-spots into a deuce, and it still has a 57-way-10, but now instead of 57 eights, it has 57 sevens! This group of three tickets, 17-spots, 3-3-2-2-2-2-1-1-1, 18 spots, 3-3-3-2-2-2-1-1-1, and 19-spots, 3-3-3-2-2-2-2-1-1 constitute a very interesting "triplet" of tickets. As you can see, they are all closely related, and all have a 57-way-10 on them.

The following tickets also have 57-ways on them, and I’ll leave it to the interested reader to figure them out:

 

3 1 1 1 1 1 1 1 1
5 1 1 1 1 1 1 1 1
4 2 1 1 1 1 1 1 1
5 2 1 1 1 1 1 1 1
5 3 1 1 1 1 1 1 1
4 3 1 1 1 1 1 1 1 1
2 2 1 1 1 1 1 1 1 1 1 1 1
5 4 1 1 1 1 1 1 1
5 3 1 1 1 1 1 1 1 1
3 2 2 2 1 1 1 1 1 1 1
5 4 2 1 1 1 1 1 1
4 4 3 1 1 1 1 1 1
4 4 3 3 1 1 1 1 1
4 3 3 3 1 1 1 1 1 1
6 6 1 1 1 1 1 1 1 1
6 5 2 1 1 1 1 1 1 1

 

If you have a Keno question that you would like answered, please write to me care of this paper, or contact me on the web via email at [email protected]. Well, that’s it for now. Good luck! I’ll see you in line!