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I thought about the size issue. As icy9ff8 said, almost everyone is able to make the adjustment mentally for the difference in size between Rice and Texas if they really want to.
But what's more, student body size doesn't matter. What matters is the size of the curriculum. NMS winners can go wherever they want. Has any school ever turned down an NMS winner because there wasn't an empty chair in a classroom? If 300 NMS winners decided to go to Williams, I think Williams would let them in. (As it is, Williams attracted a large number, 22, one more than Purdue.)
From the point of view of an NMS winner, the only things that matter are (1) Does the school have the program I want? (Hence, the curriculum breadth constraint.) and (2) How much do I want to go to that school for that major?
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