**Core Concept**
Familial polyposis coli (FPC), also known as Familial Adenomatous Polyposis (FAP), is an autosomal dominant genetic disorder characterized by the development of hundreds to thousands of polyps in the colon and rectum. These polyps are predominantly adenomatous and have a high potential for malignant transformation if left untreated.

**Why the Correct Answer is Right**
FPC is strongly correlated with colorectal cancer due to mutations in the APC gene, which leads to uncontrolled cell growth and tumor formation. The risk of colorectal cancer in FPC patients is nearly 100% if left untreated, with the majority of patients developing cancer by age 40. Early diagnosis and prophylactic colectomy are essential in preventing colorectal cancer in FPC patients.

**Why Each Wrong Option is Incorrect**
* **Option A:** Peutz-Jegher's polyp is associated with a different genetic disorder, characterized by the development of hamartomatous polyps in the gastrointestinal tract, and an increased risk of various cancers, including breast, ovarian, and pancreatic cancer. However, it is not strongly correlated with colorectal cancer.
* **Option C:** Juvenile polyposis is a rare genetic disorder characterized by the development of hamartomatous polyps in the gastrointestinal tract, and an increased risk of colorectal cancer. However, the risk is significantly lower than that seen in FPC.
* **Option D:** Hyperplastic polyp is a type of non-neoplastic polyp that is not associated with an increased risk of colorectal cancer.

**Clinical Pearl / High-Yield Fact**
FPC patients with a family history of the disease should undergo regular colonoscopic surveillance from an early age to detect polyps and prevent colorectal cancer.

**✓ Correct Answer: B. Familial polyposis coli**