NBC Studios was a production location for The Fresh Prince of Bel-Air from 1993 to 1996.
The show did not remain in one studio throughout its entire run. Its earliest seasons were filmed at Hollywood Center Studios in Hollywood from 1990 to 1991, before production moved to Sunset Gower Studios from 1991 to 1993. For the final three seasons, production took place at NBC Studios in Burbank.
That timeline makes the other choices tempting but incorrect. CBS Studio Center, Universal Studios, and Paramount Studios are all major Los Angeles-area production facilities, yet none is the location listed for the sitcom's 1993–96 period.
The setting viewers remember was fictional Bel-Air, the affluent Los Angeles neighborhood where the Banks family lived. In reality, the series was a multi-camera sitcom produced on soundstages, with sets standing in for the Banks mansion, school, courtroom, and other recurring locations. The NBC connection was especially fitting because NBC broadcast the entire original run.