  We provide optimal solutions to an institution that has dual goals of
diversity and meritocracy when choosing from a set of applications. For
example, in college admissions, administrators may want to admit a diverse
class in addition to choosing students with the highest qualifications. We
provide a class of choice rules that maximize merit subject to attaining a
diversity level. Using this class, we find all subsets of applications on the
diversity-merit Pareto frontier. In addition, we provide two novel
characterizations of matroids.
