Explanation:

Both (a) and (b) are correct

Article 30 has two clauses:
The word "establish" indicates the right to bring into existence, while the right to administer an institution means the right to effectively manage and conduct the affairs of the institution. The administration implies management and affairs of the institution.
Some of the impermissible regulations are refusal to affiliation without sufficient reasons, such conditions as would completely destroy the autonomous status of the educational institution, by introduction of outside authority either directly or through its nominees in the Governing Body or the Managing Committee of minority institution to conduct its affairs etc.