**Core Concept**
Familial adenomatous polyposis (FAP) is a genetic disorder characterized by the development of hundreds to thousands of polyps in the colon and rectum, with a nearly 100% risk of colorectal cancer if left untreated. It is caused by mutations in the APC gene, which plays a crucial role in the regulation of cell growth and differentiation.

**Why the Correct Answer is Right**
The correct answer is not provided, but based on the options, we can infer that the false statement is related to the genetic or clinical aspects of FAP.

**Why Each Wrong Option is Incorrect**
**Option A:** FAP is a genetic disorder caused by mutations in the APC gene. This is true, as the APC gene is a tumor suppressor gene that regulates cell growth and differentiation.
**Option B:** FAP is associated with an increased risk of colorectal cancer. This is also true, as the development of multiple polyps in the colon and rectum significantly increases the risk of colorectal cancer.
**Option C:** FAP is characterized by the presence of hundreds to thousands of polyps in the colon and rectum. This is true, as FAP is defined by the presence of numerous polyps in the colon and rectum.

**Clinical Pearl / High-Yield Fact**
FAP is an autosomal dominant disorder, meaning that a single copy of the mutated APC gene is sufficient to cause the condition. This is important to remember, as family members of individuals with FAP are at a 50% risk of inheriting the mutated gene.

**Correct Answer:** Not provided, please provide the correct answer options.