**Core Concept**
Ribs develop from somites, specifically the sclerotome, which is the caudal (tail) portion of each somite. This process occurs during embryonic development, around 4-6 weeks of gestation, and is a critical step in the formation of the thoracic cage.

**Why the Correct Answer is Right**
The sclerotome differentiates into the ribs, vertebral bodies, and intervertebral discs. This process is mediated by the expression of specific transcription factors, such as Pax1 and Pax9, which regulate the development of the sclerotome and the formation of the ribs. The ribs subsequently ossify and are connected to the vertebral bodies through costal cartilages.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because ribs do not develop from the neural crest, which gives rise to other structures such as the craniofacial skeleton, cartilage, and the peripheral nervous system.

**Option B:** This option is incorrect because the notochord is a precursor to the vertebral bodies and intervertebral discs, but it does not directly contribute to the development of the ribs.

**Option C:** This option is incorrect because the paraxial mesoderm gives rise to the somites, but it is the sclerotome within the somites that specifically develops into the ribs.

**Clinical Pearl / High-Yield Fact**
Ribs develop in a specific pattern, with the first seven pairs of ribs being true ribs (directly attached to the vertebral bodies through costal cartilages) and the last two pairs being false ribs (attached to the seventh rib through cartilage).

**Correct Answer:** C.