# Down for the final (?) count

Jan 1, 2007 5:31 AM

We’ve spent the last couple of weeks counting the ways or "breaking out" the ways as a keno writer would say. As we discussed the "bridge system" last week I mentioned that the system uses two partial groupings of the ticket in question. This week I will show you that it is inconsequential which partial groupings are used; any may do.

Let’s take the 12-spot ticket grouped 3-3-2-2-1-1. If we take half of the groups for each partial grouping to initiate the bridge system, we’ll get a 3-3-2 and a 2-1-1. Although this partial grouping is usable, it may not be the easiest one to use especially on more complex tickets. Therefore let’s use the partial groupings 3-3 and 2-2-1-1. It is much easier to eyeball the breakouts of these partial groupings, to wit: 3-3= a 1-way-6 and a 2-way-3, while 2-2-1-1= a 1-way-6, 2-way-5, 3-way-4, 4-way-3, 3-way-2 and a 2-way -1. Charting these ways like last week we’ll get:

 6 5 5 4 4 4 3 3 3 3 2 2 2 1 1 6 12 11 11 10 10 10 9 9 9 9 8 8 8 7 7 3 9 8 8 7 7 7 6 6 6 6 5 5 5 4 4 3 9 8 8 7 7 7 6 6 6 6 5 5 5 4 4

And this chart displays all 63 ways on the ticket.

We can alternatively use the partial groupings 3-3-2-2 and 1-1 where 1-1= 1-way-2 and 2-way-1 and 3-3-2-2= a 1-way-10, a 2-way-8, a 2-way-7, a 1-way 6, a 4-way-5, a 1-way-4, a 2-way-3 and a 2-way-2. Charting this, we’ll get the alternative breakout:

 10 8 8 7 7 6 5 5 5 5 4 3 3 2 2 2 12 10 10 9 9 8 8 8 8 8 6 5 5 4 4 1 11 9 9 8 8 7 6 6 6 6 5 4 4 3 3 1 11 9 9 8 8 7 6 6 6 6 5 4 4 3 3

which contains the same ways as the first breakout in a different configuration.

The moral is that when using the bridge system to break out a way ticket you can choose the most convenient format.

Well, that’s it for this week, good luck, I’ll see you in

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