I hate to burst you bubble, and I am glad that you believe that Rutgers is a part of the Ivy League[1], but I assure you it isn't. Rutgers admits nearly 61% of applicants in, and based on a cursory google search, UMich accepts about 37% and UC Berkeley accepts 18%.
Rutgers is The State University of NJ[2]. It is a very old institution (8th oldest), and that may be where the confusion comes from, since all the other Ivy's came from that time period.
[1] http://en.wikipedia.org/wiki/Ivy_League#Members
[2] http://www.rutgers.edu/