<p>I made this point earlier, but it seems that all the other posters just ignored it:</p>
<p>Cornell and Penn combined could plausibly have enough room for people who scored above a 2350 and who are valedictorians. Cornell enrolls nearly 14k undergrads (13,935), and Penn enrolls 10,301 undergrads. A rough estimate of each entering class size would have you divide by four, getting 6,059 students in each freshman class.</p>