Public administration involves carrying out laws and policies set by governments to serve the public interest. It aims to fulfill public policy through official processes and organizations. Private administration is the management of private business enterprises by individuals or groups to earn a profit through non-political activities like planning, organizing, and implementing business policies and programs. The two differ in that public administration operates in a governmental setting while private administration is a business process, but they both require similar skills in areas like planning, budgeting, and controlling.