Step 1: Understanding the Concept
Planaria is a flatworm with a ladder-like nervous system.
Step 2: The brain
The brain is a mass of cerebral ganglia in the head region, with nine branches of nerves arising from each ganglion.
Step 3: Nerve cords and eyes
A pair of longitudinal ventral nerve cords run backward and are joined by transverse commissures. Two eye spots (ocelli) lie on the dorsal side of the head.
Step 4: Why the other options fail
A single nerve cord, ventrally placed eyes or ten branches per ganglion do not match this description.
Final Answer:
The nervous system has cerebral ganglia with nine nerve branches, paired ventral nerve cords with commissures and dorsal eyes.
\[ \boxed{\text{(C) }\text{a mass of cerebral ganglion with nine branches of nerves arising from each ganglion, a pair of ventral nerve cords interconnected by commissures, a pair of dorsally located eyes}} \]