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[quote=Anonymous][quote=Anonymous][quote=Anonymous]Harvard reported 3000 more applications than last year including a 14.9% jump in Asian-American and 18.7% jump in African-American applications.

http://www.thecrimson.com/article/2018/2/14/applications-numbers-2018/

Also, with so many more applications, you'd think yield rates (#matriculating/#accepted) would go down (if Johnny is applying to 12 schools when 10 years ago he would have applied to 6) but yield rates are going up at most of the Ivies.  [/quote]

Because fewer students are getting into multiple colleges. [b]I'd guess that no more than 200 students get into more than 1 among HYPSM each year. [/b]

Yields are also going up or stable at the non-Ivy top universities like NU/Rice/Hopkins, state flagships, and the top LACs. [/quote]

It is more than 200, I would guess around 800-900 or so. Here is why:

There are about ~700 kids each year who turn down a Princeton acceptance. 
One can safely assume that at least 70% of these non-enrolling  admits (~490) turn down P for HYSM. It could very well be more than 70%. The 70% number is a conservative estimate in line with the Stanford senate minutes leaked online a few years ago which showed that 75% of Stanford non-enrolling students matriculated at HYPM for the class of 2014. 
http://mathacle.blogspot.com/2012/01/stanford-or-harvardyaleprincetonmit-or.html

The situation is similar for Yale :~700 kids turn down a Yale acceptance, and it is again reasonable to assume that at least 70% do so in order to attend HSMP.

So far you have at least 490 names on the Princeton non-enrolling, HYSM-enrolling pool and another 490 names on the Yale non-enrolling, HPSM-enrolling pool. So at the very least you got 490 students with more than one HYPSM choice.

Of course the total number is more than 490. This is because a) the rate above could be higher than 70% , b) the two pools above cannot overlap 100%; (100% overlap would mean that there are no people who turn down Y and enroll at P and vice versa) and c) you also have to account for:
1. the H/S/M enrollees who were H-S, H-M, M-S or H-S-M cross-admits, but had neither a Y nor a P choice (either didn't apply or they applied and did not get accepted)
2. the students who got into H and/or S and/or M but chose to enroll at Y or P instead 
3. the cases of HYPSM cross-admits who ended up enrolling at a non-HYPSM school. This is not a big number but it is also not zero (choosing Columbia to be in NYC, Penn for Wharton/dual degree,  Caltech or major merit-aid at state honors programs are the most common cases I have come across where one would make a non-HYPSM choice over one or more HYPSM choices)

Adding up all these additional cases could easily bring the total up to 800-900 students, considering that there are ~ 350 admitted names every year that turn down each of H, S, MIT.  [/quote]

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