Exact wording:
"Your application for the University of Michigan Dermatology Residency Program beginning July 2016 has been carefully reviewed. While we are unable to interview you at this time, we thank you for your interest in our program.
We received over 550 applications, which was a 15 percent increase over last year. No screens were used and I personally reviewed every application to make sure nothing in your application was missed. Unfortunately, we cannot interview all the truly excellent applicants; in fact, we must decline to interview 10 of every 11 applicants. This must be painful for you and it is hard on all of us (especially me), too. Sending these emails is the most difficult part of my job.
Our selection process includes many factors, some of which seem arbitrary when the rejection rate exceeds 90%. (Rest assured that the factors do not include applicant’s connections or other manipulations of the system.) Your application was reviewed favorably. Unfortunately, we ran out of room on our sole interview day. Time constraints prevent me from commenting individually on your application so if you have any concerns, perhaps your own advisors could assist you.
You may have had your heart set on Michigan, which is one of the reasons I am trying to explain the situation. Yet there are no easy explanations when the number of applications so far exceeds the availability of interviews. Please realize that the total number of applications is out of your or our control and please accept my heartfelt apologies for having to send this letter to you.
I wish you every success in your future endeavors."
Compared to other rejection notices, this was an easier blow to take I think...