Final answer:
Carmela, with supervisory responsibilities over three other licensees in Illinois, likely holds a managing broker license which enables her to manage a real estate office and oversee other agents. The correct answer is option c.
Step-by-step explanation:
The question pertains to the type of real estate license held by Carmela in the state of Illinois, given that she supervises three other real estate licensees. Based on the information provided, Carmela likely holds a managing broker license. In Illinois, a managing broker is responsible for supervising the activities of licensees and the management of a real estate office.
Since associate brokers, brokers, and salespersons do not have supervisory responsibilities over other licensees, option A, B, and D are not suitable answers. A managing broker can operate their own office and oversee other agents, which is consistent with the role Carmela is described to be playing.