Most patients that respond to chemotherapy once their NPC tumors have come back have been treated with a platinum-based medication like cisplatin. However, since many patients are given cisplatin during their initial treatment for NPC, in this study, they will be treated with another platinum-based chemotherapy medicine that has been used in patients with NPC called carboplatin. In this study, carboplatin will be used in combination with another drug called docetaxel. Other studies in patients with advanced head and neck cancer have shown that docetaxel can cause tumors to respond better and allow patients to survive longer when added to the standard treatments for those diseases.