Smaller Nationals = Bigger Regionals?

[Andrew Schreiber]

Originally Posted by Alan Anderson

I think this might be a record for thread resurrection.

Well, since this thing has been raised from the grave already and is craving brains I will give it some of mine. Yay Zombie Thread.

I am not sure if a smaller Championship would lead to bigger regionals but I know that smaller regionals lead to a bigger Championship. The min size of CMP is equal to 7*Regionals (4 champions, 1 EI, 1 CA, 1 Rookie).

This means that for a number of teams N there must N/40 regionals. (I am going to pick 40 as a size since it is FiM's size) or 43 regionals. This means the minimum size of CMP is 301. Now, if we decrease the size to 30 that number grows significantly to 397. This also assumes that all teams go to 1 regional and ignores 2 tier systems like FiM.

Using that logic (more smaller regionals creates a larger CMP) we can actually see that the converse must be true. If I cap CMP at 200 teams (4 divisions of 50) it means there can be at most 200/7 (28) regionals meaning we would have to have 1700/28 (61) teams at each regional. Also we can see that, as FRC gets bigger, regionals must scale linearly with team number.