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Keno Way Tickets
Even more complicated are "way tickets" which are essentially combination tickets that involve a large number of uniform choices intertwined in all possible ways. A simple example involves picking, say, 5 sets of two numbers each. Maybe you choose 11-22 (mark and circle these two), 4-25 (mark and circle these two), 38-40 (mark and circle these), 64-65 (mark and circle these) and 76-77, also marked and circled.
Now what you want to play is every possible 6-spot that can be formed by combining the circled numbers. With 5 groups of two numbers, noting you need 3 groups of 2 to form 6 numbers, there are C(5,3) = 10 possible ways to form 6-spots out of those groups of two. So far you've got a ticket with 5 circles of 2 numbers each. To the right of the ticket you write: $10; 10/6; $1. That is, you are paying $10 for the ticket, playing 10 ways of 6 spots at $1 per way.
For another dollar you could have also played the 10-spot that is the total collection of 10 numbers that you circled. That ticket would be marked $11; 10/6; 1/X; $1. The X is keno notation for 10 when it denotes the number of spots being played.
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