There is a famous old keno way ticket called a "Heinz 57" ”” so called because it has a 57-way 10 on it, and the 10s come in many different varieties! The ticket is comprised of 18 numbers, grouped 3-3-3-2-2-2-1-1-1. How does one make 57 10s on this ticket? Here’s how:
”¡ Using a 3-3-3-1 there are 3 ways to make a 10.
”¡ Using a 3-3-2-2 there are 9 ways to make a 10.
”¡ Using a 3-3-2-1-1 there are 27 ways to make a 10.
”¡ Using a 3-2-2-2-1 there are 9 ways to make a 10.
”¡ Using a 3-2-2-1-1-1 there are 9 ways to make a 10, which makes a total of 57 ways, in five different "varieties."
Interestingly enough, there are also 57 eights on this ticket, which is a fact that many people who play this ticket are unaware of. This is true because there are 18 numbers on this ticket, and for every way there is to make a 10, there is a corresponding way to make an eight. For example, if you use a grouping of 3-3-3-1 to make a 10, this leaves a grouping of 2-2- 2-1-1 "unused" which of course makes an eight. Since there are five varieties of 10s on the ticket, there must also be five corresponding varieties of eights on the ticket. They are:
”¡ Using 3-3-2 there are 9 ways to make an eight.
”¡ Using 3-3-1-1 there are 9 ways to make an eight.
”¡ Using 3-2-2-1 there are 27 ways to make an eight.
”¡ Using 3-2-1-1-1 there are 9 ways to make an eight.
”¡ Using 2-2-2-1-1 there are 3 ways to make an eight, which gives a total of 57 eights, in five different "varieties."
Keno Lil suggests playing both the 10s and the eights on this ticket, because of the fact that the 10s and eights complement each other. If you get lucky and hit say nine, 10 or 11 out of 18, the way your catch is grouped may pay off more on the 10s than the eights, or vice versa. You should be able to play this ticket at any computer keno game for a dime or even a nickel a way, or if you are adventurous, for a buck a way. Most brush keno games will book it, but the minimum price will probably be at least a quarter and probably fifty cents a way.
Or you might have some fun with this one: Mark a field of five and eight kings (5-1-1-1-1-1-1-1-1) using thirteen numbers. This will give you a 57 way eight and a 57 way five. In this case the eights and five complement each other; you should play them both!
Or maybe 13 spots, grouped 4-2-1-1-1-1-1-1-1. This will give you 57 nines and 57 fours! Or 14 spots grouped 5-2-1-1-1-1-1-1-1, which will give you 57 nines and 57 fives! (These two tickets are closely related, as you can see.) Another "cousin" is fifteen spots, grouped 5-3-1-1-1-1-1-1-1. This will give you 57 eights and 57 sevens. Similarly related is a ticket with 16 numbers, grouped 5-4-1-1-1-1-1-1-1. This will give you a 57 way nine and a 57 way 7! All of the tickets in this family have seven kings, you will note.
If you want to get seriously carried away, you can mark fifteen numbers, group them 2-2-1-1-1-1-1-1-1-1-1-1-1, and play 57 thirteens and 57 deuces! You can also play a 57 way thirteen using sixteen numbers, grouping them 5-3-1-1-1-1-1-1-1-1. In this case you will have a complement of 57 threes.
You may want to try this 57 way 10 and 57 way six: Take 16 numbers and group them 4-3-3-1-1-1-1-1-1. 10s and sixes make a great high frequency combination!
Well, that’s it for now! Good luck, I’ll see you in the winner’s circle!