The correct answer is option 3, Article 40 of the Indian Constitution. Article 40 of the Indian Constitution states that the State Governments shall organize Village Panchayats and endow them with such powers and authority as may be necessary to enable them to function as units of self-government.

Option 1, Article 32, pertains to the right to constitutional remedies whereby individuals have the right to move the Supreme Court for the enforcement of their fundamental rights.

Option 2, Article 37, deals with the application of the principles of Directive Principles of State Policy, which are guidelines for the government to direct policy-making and implementation.

Option 4, Article 51, lays down the fundamental duty of every citizen to promote harmony and the spirit of common brotherhood amongst all the people of India.

Therefore, the correct answer is option 3, Article 40, which directs State Governments to organize Village Panchayats.