A 10-Year-Old Boy Was Playing Darts with His Friends

A 10-year-old boy was playing darts with his friends. He bent down to pick up a fallen dart when another dart fell from the dart board and hit him on the side of his face. On examination in the emergency department a small skin wound was found over the right parotid salivary gland. Then, 6 months later, the boy's mother noticed that before mealtimes the boy began to sweat profusely on the facial skin close to the healed dart wound.
-The following statements can explain this phenomenon except which?

A) The point of the dart had entered the parotid salivary gland and damaged the parasympathetic secretomotor fibers to the gland.
B) The secretomotor fibers to the parotid gland arise in the otic ganglion.
C) The preganglionic parasympathetic fibers originate in the superior salivatory nucleus of the facial nerve.
D) The skin over the parotid salivary gland is innervated by the great auricular nerve, which was also damaged by the dart.
E) On regeneration of the damaged nerves some of the parasympathetic nerves to the parotid salivary gland had crossed over and joined the sympathetic secretomotor nerves to the sweat glands in the distal end of the great auricular nerve.
F) The patient has Frey's syndrome.