Zorak's question, "How many times has Jack Klugman been on The Twilight Zone?" never gets the correct answer: four.
As this is the only time that Fran Drescher (who played the title role in The Nanny (1993)) and Russell Johnson (who played The Professor in Gilligan's Island (1964)) appeared on the same show, the reasoning in assembling them may have been that their respective signature roles suggested an alternate rendering of the title of another famous TV show of the past, Nanny and the Professor (1970).