Abstract: The problems of realization of the right to education guaranteed by the Constitution of the Russian Federation are characterized by interdependence, mutual influence and multiplicity. Quotas and segmentation in the higher education system are not new and are already known from the pre-revolutionary and Soviet periods of our country's history. The recent expansion of the number of categories of persons eligible for quotas for admission to universities requires participants in the education system to take measures to predict and prevent possible adverse events during and after training, as well as during the process of filling budget places according to quotas. It is noted that the post-traumatic stress disorder of combatants seriously impedes the assimilation of educational material, social interaction, mental, emotional and psychological health in general. To date, a change in the profile of the applicant and graduate is predicted (including their psychophysical qualities), in this regard, a change in the level of quality of training of professional personnel. Taking into account foreign experience in adapting the higher education system for veterans, the need for the formation of tools in the education system for socio-psychological, methodological (tutor) support and social support of veteran students is emphasized. The author comes to the conclusion that in order to solve the problems, it is necessary to implement comprehensive strategies and programs taking into account various aspects of education and thereby ensure universal access to quality education and the realization of the full constitutional right to education in the Russian Federation.