Academic freedom; student's right to re-admission vs. school's academic standards practice question

Five third-year nursing students at St. Dominic's University failed to obtain a grade of at least 80% in a major nursing subject, as required by the university's retention policy. Despite passing the subject with grades of 77% and 78%, they were denied re-admission for the next academic year. The students, who had signed agreements upon admission to abide by the school's policies—including the 80% retention rule—filed a petition for mandamus to compel the university to re-admit them, arguing that their right to continue their course up to graduation is protected by law and the Constitution. The university, citing its academic freedom and the students' prior agreement, insists on enforcing its retention policy. Should the petition for mandamus be granted? Explain.