Which nerve, a branch of the mandibular division of the trigeminal nerve, supplies sensation to the cheek?

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This question tests which branch of the mandibular division (V3) supplies sensation to the cheek. The long buccal nerve is a sensory branch of V3 that travels along the cheek to innervate the skin over the buccinator area and the adjacent buccal mucosa, providing sensation to the cheek. The lingual nerve, also from V3, supplies sensation to the anterior two-thirds of the tongue and floor of the mouth, not the cheek. The infraorbital nerve comes from V2 and supplies midface regions near the orbit, not a V3 branch. The zygomatic nerve is a V2 branch supplying parts of the cheek/temple region but not from V3. Thus, the long buccal nerve best fits both criteria: a branch of V3 that supplies the cheek.