The correct answer is: a) Direct elections.
Members of Panchayats in Assam are elected through direct elections. This means that the people of Assam vote directly for the members of the Panchayats. The Panchayats are local government bodies that are responsible for a variety of tasks, such as providing basic services to the people, maintaining law and order, and promoting development.
Option b) is incorrect because the members of the Panchayats are not appointed by the government. Option c) is incorrect because the members of the Panchayats are not nominated by community leaders. Option d) is incorrect because the members of the Panchayats are not elected through a lottery system.