The Ivy League has a page dedicated to the recruiting process for prospective student-athletes interested in attending a member institution. Although the site avoids providing specific admission's related numbers, it does give a phenomenal overview of the recruiting process in general and the specific nuances related to the Ivy League.
"Ivy League schools share a tradition of academic excellence and broad-based, successful NCAA Division I athletics. The Ivy League annually finishes among the top Division I athletics conferences in national competitive rankings, and Ivy League student-athletes earn the country’s best records in the NCAA Academic Performance Ratings, operating under the Ivy League model of athletics as a significant educational component of the student's undergraduate experience. Ivy student-athletes grow from their athletics experiences to become national and community leaders across the spectrum of 21st century life in business and technology, education and philanthropy, law and government, medicine and research, and professional sports and entertainment
As you pursue opportunities to study and compete in intercollegiate athletics, please keep in mind the following admissions and financial aid policies common to all Ivy League schools."