there aren't many students from top schools. UCLA, Duke, Brown, and Penn seem to crank out more applicants. I very rarely see schools like Dartmouth, Yale, and Princeton. I have yet to see Cal Tech and Stanford. If you're from one of these schools, I'm sure you'll be snagged up fairly quickly.
But it can't matter much when there are no applicants from those schools. Schools'll settle for what they can get.