What condition is indicated by a patient with no hair and no teeth?

The condition indicated by a patient with no hair and no teeth is ectodermal dysplasia. This genetic condition results from the abnormal development of ectodermal structures, which include skin, hair, nails, teeth, and sweat glands. As a result, individuals with ectodermal dysplasia often exhibit sparse or absent hair (alopecia) and may have missing teeth or abnormal dentition. The absence of both hair and teeth is a classic presentation associated with this condition, making it the most accurate answer.

While alopecia areata is a condition characterized by patchy hair loss, it does not typically involve the absence of teeth. Vitamin deficiencies can lead to various symptoms, but they would not specifically cause the complete absence of both hair and teeth. A genetic disorder is a broad category that could encompass ectodermal dysplasia but does not specifically describe the combination of symptoms found in this scenario as precisely as ectodermal dysplasia does. Hence, ectodermal dysplasia is the most fitting diagnosis for the described patient condition.