A state accredits both public and private schools, licenses their teachers, and supplies textbooks on secular subjects to all such schools. Country Schoolhouse, a private school that offers elementary and secondary education in the state, denies admission to all non-Caucasians. In a suit to enjoin as unconstitutional the continued racially exclusionary admissions policy of the Country Schoolhouse, which of the following is the strongest argument AGAINST the school?
Because education is a public function, the Country Schoolhouse may not discriminate on racial grounds.  The state is so involved in school regulation and support that the equal protection clause of the Fourteenth Amendment is applicable to the school. The state is constitutionally obligated to eliminate segregation in all public and private educational institutions within the state. Any school with teachers who are licensed by the state is forbidden to discriminate on racial grounds