Final answer:
The condition described with gastrointestinal hamartomatous polyps and mucocutaneous hyperpigmentation is Peutz-Jeghers syndrome, which is an autosomal dominant disorder often associated with an increased risk of developing various types of cancer.
Step-by-step explanation:
The student's question pertains to a syndrome characterized by the presence of multiple gastrointestinal hamartomatous polyps and mucocutaneous hyperpigmentation. This condition is indicative of Peutz-Jeghers syndrome (PJS), an autosomal dominant genetic disorder. Individuals with PJS typically have a mutation in the STK11 gene, which increases their risk for developing certain types of cancer. PJS is characterized by the distinct features mentioned in the student's question—multiple noncancerous polyps in the gastrointestinal tract and pigmented spots on the skin and mucous membranes. It is important to screen for and manage polyps in PJS to prevent complications like intestinal obstruction and reduce the risk of gastrointestinal cancers.