The correct answer is: C. Article 30
Article 30 of the Constitution of India guarantees the right of minorities to establish and administer educational institutions of their choice. It states that all minorities, whether based on religion or language, shall have the right to establish and administer educational institutions of their choice. The State shall not discriminate against any educational institution on the ground that it is under the management of a minority, whether based on religion or language.
Article 19 of the Constitution of India guarantees the right to freedom of speech and expression, the right to assemble peaceably and without arms, the right to form associations or unions, the right to move freely throughout the territory of India, the right to reside and settle in any part of the territory of India, and the right to practice any profession, or to carry on any occupation, trade or business.
Article 29 of the Constitution of India guarantees the right of every citizen to conserve his language, script and culture. It also states that no citizen shall be denied admission into any educational institution maintained by the State or receiving aid out of State funds on grounds only of religion, race, caste, language or any of them.
Article 31 of the Constitution of India guarantees the right to property. It states that no person shall be deprived of his property save by authority of law.
In conclusion, Article 30 of the Constitution of India safeguards the rights of minorities to establish and run educational institutions of their own liking.