42, on Mar 17 2006, 06:47 PM, said:
Quote
Caren, you missed two things: You should compare this list with the list of successes of the direct finesse. Also, some of these layouts are really several layouts, because there are several ways the small cards can be distributed.
Arend
Arend
UAAAAARRRGGHHHHHHHHH That drives me crazy, I know again why I am only secretary for and no mathematician myself....
For the small cards: why do they matter since I cover them all?
The point Arend was making is the following:
If you enumerate holdings and write, for example, AJxx x, then actually you have just specified more than one specific holding. It becomes clearer if you pick real spot cards for the 'x'es or pick distinct variable names, as in:
"AJab c" -- now a, b and c are three different cards (for example "AJ73 5", but this looks as if the values of the spots did matter).
Now consider just the three small cards: they can be distributed as "ab c", "ac b" and "bc a". So when writing "AJxx x" you have to count 3 hands, not one...
This fact is hidden when writing "x" for any spot card, because that looks at first sight as if all the xes are equal, in which case ordering would not matter.
--Sigi

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