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I submit you're looking for the wrong thing. We can assume every person at the top of both piles has a perfect GPA and a near-perfect SAT score, so this is not likely to help us figure anything out.

The real figure of merit in this discussion is simply the thickness of both piles.

With regard to the rest, I interpreted what you wrote differently than how you meant it, I appreciate the explanation, and I apologize for the confusion.



> We can assume every person at the top of both piles has a perfect GPA and a near-perfect SAT score

actually that's a very fair point and you're right. We do know how many are in each pile. thanks and sorry for the confusion.




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