Final answer:
The greater palatine nerve innervates the palatal area from the premolars to the last molar on one side.
Step-by-step explanation:
The greater palatine nerve is responsible for the innervation of the palatal area from the premolars to the last molar on one side. This area includes the hard palate and the palatal gingiva adjacent to the molar and premolar teeth. Specifically, the correct option is c. The palatal area from the premolars to the last molar on one side. The greater palatine nerve does not supply the maxillary teeth, buccal tissues, or the anterior portion of the palate exclusively, so the other options provided are incorrect.