Final answer:
A member of the NC State Board of Barber Examiners serves a term of 4 years, which is option D.
Step-by-step explanation:
The term of office for a member of the NC State Board of Barber Examiners is 4 years. The correct answer to the question is D) 4. Members of this board are appointed to regulate the profession of barbering within North Carolina, and these members serve terms that ensure stability and continuity within the board's operations.