Notes:
First of all, the concepts are different. A firm refers to a place or institution where affairs are handled, similar to a place. Most of them are commissioned by others and are relatively small in scale.
An enterprise is the organizational form of an enterprise and is a legal entity with the purpose of profit. According to my country's company registration and management regulations, it is established with capital contributions from less than 50 shareholders. In China, companies include limited liability companies and joint stock companies. In comparison, the scales range from large to small.
Generally speaking, any profession can be added to the prefix of a firm, such as a law firm, an accounting firm, a design firm, a detective agency, etc. There are two classifications of companies. As mentioned above, it is divided into limited companies, including wholly state-owned companies and other limited liability companies, and the other is a shareholder limited company.