If the process minimizes repeats, then it's not truly random.Question: How many pairings can be created AND NOT repeat an order??? So far I've copied the exact pairings used for each weight class going back four years, and like twice has there been a repeat.
NOTE: if from top to bottom the order is reversed, I count that as a non-repeat.
I guess my question is how many versions of pairings can there be without repeats? Is there not some mathematical/statistical answer here?
Come on, mathletes - lend a helping hand!
Would it be that much work to seed the quarter brackets in order to get the best wrestlers to Columbus?Some years ago, the topic about a true 2nd and a true 4th was brought up because sometimes a random draw would create a scenario where the best 4 don't go to state. Probably happened a lot in the Mentor/ meat grinder district back in the days.
Soooooo…how many possible pairings?
ps: LOVE the color-coded pic. That’s freaking legit!
I think 24 per weight is the correct answer for how it is drawn at districts. The quarters are the same formula being used, meaning if the top quarter has the #1 from sectional A, the number 2 from sectional A will always be in the bottom (last) quarter, #3 from sectional A will always be in 3rd quarter, #4 from sectional A will always be in the 2nd quarter. All with designated spots. So regardless of which #1 from each sectional sits in a spot, all the others from that sectional will have a designated quarter they fall in and it will not be random for 2-4.Ok, final answer here (for now...)
There are 48 different bracket combinations. Due to the cross-bracketing of losers from the Championship Quarterfinals into the consolation round 2 lines, the bottom orientation (or pairing) of the bracket does in fact matter.
Here it is with the crayons for the simple folk:
View attachment 26940
Note the highlighted/Bracketed "Conso 2" pairings in each bracket... This shows that the flip-flopped bottom quarters actually creates a unique bracket.
Since the flip flop of the top quarters would be covered in the initial 24 quarters that can be created, we get 48 possible district brackets that can be created.