Final answer:
The combined Barbering Board and Board of Cosmetology is typically called the State Board of Barbering and Cosmetology, which oversees licensing and standards for professionals in the field.
Step-by-step explanation:
The correct name for the combined Barbering Board and Board of Cosmetology is commonly referred to as the State Board of Barbering and Cosmetology. This board is responsible for regulating the licensing and practice of barbers, cosmetologists, and related professionals within a given state. Each state may have its own specific name for the board, and the exact title can vary by location. The State Board helps protect public health and safety by ensuring that professionals meet certain standards of training and professionalism.