The correct answer is: a) Home Department.
The Home Department is responsible for maintaining law and order in Assam. It is headed by the Home Minister, who is a member of the State Cabinet. The Home Department is responsible for the police, prisons, fire services, and other law enforcement agencies. It is also responsible for the administration of justice, including the courts and the jails.
The Finance Department is responsible for the collection and management of revenue, as well as the preparation and execution of the state budget. The Education Department is responsible for the administration of schools and colleges, as well as the promotion of education in the state. The Health Department is responsible for the provision of health care services to the people of the state.
The Home Department is the most important department in the state government, as it is responsible for the safety and security of the people. The other departments are also important, but they do not have the same level of responsibility as the Home Department.