are there the same number of nerves as there are vertebrae in each region
The cervical nerves are the spinal nerves from the cervical vertebrae. Although there are seven cervical vertebrae (C1-C7), there are eight cervical nerves C1--C8. All cervical nerves except C8 emerge above their corresponding vertebrae, while the C8 nerve emerges below the C7 vertebra. Elsewhere in the spine, the nerve emerges below the vertebra with the same name.
Spinal nerve