## Core Concept
The question tests the knowledge of dental anatomy and nerve supply to the mandibular teeth. The **mandibular division of the trigeminal nerve (V3)**, specifically the **inferior alveolar nerve**, provides sensory innervation to the mandibular teeth, including the molars.

## Why the Correct Answer is Right
The **inferior alveolar nerve** is a branch of the mandibular division of the trigeminal nerve (V3). It enters the mandibular canal and provides sensory innervation to the mandibular teeth, including the molars, and the surrounding bone. To anesthetize the tooth for removal of caries, the dentist would need to administer a local anesthetic near the **inferior alveolar nerve** to block the transmission of pain signals.

## Why Each Wrong Option is Incorrect
* **Option A:** The **auriculotemporal nerve** is a branch of the mandibular division of the trigeminal nerve (V3) but primarily provides sensory innervation to the temporomandibular joint, the external auditory meatus, and the skin over the temple. It does not supply the mandibular molars.
* **Option B:** The **lingual nerve** provides sensory innervation to the anterior two-thirds of the tongue and the floor of the mouth but not to the mandibular teeth.
* **Option D:** The **buccal nerve** provides sensory innervation to the cheek and the buccal mucosa but not to the mandibular teeth.

## Clinical Pearl / High-Yield Fact
A key point to remember is that for procedures involving the mandibular teeth, the **inferior alveolar nerve block** is commonly used. This block anesthetizes the **inferior alveolar nerve** and, often, the **lingual nerve** if a lingual nerve block is not performed separately. The mental/incisive nerve, a terminal branch of the inferior alveolar nerve, supplies the lower anterior teeth.

## Correct Answer: C. Inferior alveolar nerve.