Are scenarios in which disadvantaged students prefer not to attend (certain) universities a concern from the perspective of an egalitarian theory of justice? I consider this question from the respective perspectives of two prominent approaches to equality: distributive theories, which focus on the fairness of inequalities in outcomes, and relational theories, in which equality is conceived in terms of the relations among individuals. While distributive theorists seek to directly assess the fairness of distributions, relational theorists argue that our assessment of distributions must be guided by broader concerns of relational equality. As I suggest in this paper, this difference in approach is also reflected in the debate about justice and education, in particular in the context of the debate about whether justice in education requires some form of equality or, rather, as theorists such as Elizabeth Anderson and Debra Satz have suggested, 'adequacy'. I suggest that both distributive and relational theorists can identify as problematic that disadvantaged students prefer not to go to university (or certain universities), though they will have different interpretations of what precisely is problematic about the preference and how it relates to inequality of the relevant kind. However, this judgment is susceptible to the objection that it is counterintuitive that preferences that individuals endorse and identify with would be the source of unfair inequalities. In response, I argue that both distributive and relational egalitarians have good reason to challenge this objection; individuals' preferences, even if the individuals themselves endorse their preferences, should not fall beyond the purview of egalitarian theory. The final section returns to the theoretical debate between distributive and relational approaches to equality. Keywords luck egalitarianism, adequacy, relational equality, distributive equality, higher education access, equality, preferences A variety of obstacles affect the higher education decisions of young adults from disadvantaged backgrounds. This includes obvious injustices, such as discrimination by universities, or secondary school systems that do not provide disadvantaged students with the qualifications necessary to compete for university places, but also more subtle obstacles, such as less knowledge about, and familiarity with, higher education among those from families without university experience.In this paper, I consider cases where students prefer not to attend university, or prefer to attend less prestigious over more prestigious institutions. While preferences of this kind may seem a minor problem in the bigger scheme of inequality in higher education, the empirical literature suggests that they play a role in generating inequalities in higher education attendance. Moreover, the role that individual preferences and beliefs play in generating unequal outcomes is of concern not only in the higher education context but in other areas as well, for example choices about health-...