I dont understand. The highest level of competition is for thousands of spots a year in the Ivy League/MIT/Caltech/Stanford/etc. versus dozens of notable compet

I dont understand. The highest level of competition is for thousands of spots a year in the Ivy League/MIT/Caltech/Stanford/etc. versus dozens of notable competition winners per state, at best. Round up all the science fair, math olympiad, etc winners, and I'd be surprised if they filled put a single graduating year at Caltech, let alone all the (much larger) other schools. i dont think the math adds up.