lamford, on Aug 24 2010, 05:57 PM, said:
campboy, on Aug 16 2010, 01:01 PM, said:
...
On the contrary, there are, by my count, 12443642546855641088 ways for the pair in question to have arrived at 3NT.
I disagree. Including accepted insufficient bids, there are an infinite number of ways any pair could reach 3NT.
(There is a variation in tense between these two statements.)
Given that bridge has been in existence for <100 years, the finiteness of the population, and the limitations from the speed of sound and speed of light as to how fast auctions can happen, there is a large finite bound on the number of ways (including irregularities) any pair
could have arrived in any contract.
If each auction takes at least one second, and all the world's 7 billion population have been doing nothing but having contract bridge auctions* for the last 100 years, that is "only"
3x10^7 x 10^2 x 7x10^9/4 = 5x10^18 auctions
less than half of campboy's number.
* and if they had, how did the 7 billion people come to be born