Does Anyone Know The Answer????

[archiver]

Posted by Jon, Engineer on team #190, Gompei, from Mass Academy of Math and Science and Worcester Polytechnic Institute.

Posted on 3/30/99 11:49 AM MST


In Reply to: I think I have some answers!!!! posted by Jeff Bazydlo on 3/30/99 9:58 AM MST:



Ok, here's another way to look at it...
we are guessing about 220 teams at the nationals, and we are working under the assumption that there will be 2 stages each with 2 fields on it,therefore we have come to the conclusion that 8 teams should be playing at one point and that we can reasonably expect about twice as many Qmatches as at the regionals
for a total close to 170.
this leads into my view:

220 teams / 8 teams per match = 27.5 MPRs (Matches per total Roster), this is the number of matches needed for all the teams to play once (mathematically speaking, of course).
Jeff's theory says that we should get about 6 matches, and 27.5 MPRs * 6 (guessed matches) = 165 matches total!
that's pretty close to the ideal '2X fields = 2X QMs' argument

after turning this in my head so many times i can't tell if i've come up with some definitive results or if i'm just twisting the numbers to fit...