According to the narrator’s mother, what are the “two kinds”?
a. daughters who obey and daughters who follow their own minds
b. great pianists and all other pianists
c. people who try their best and people who are lazy
d. parents who their children and parents who ignore them

the sentence does not violate the phrase structure second rule (introduced by noam chomsky) because noun phrases consist of a determiner such as a, the or every, and a noun. in the sentence, the noun phrase the cake includes a determiner (the) and a noun (cake).

on the other hand, the first rule indicates that a sentence encloses a noun phrase, followed by a verb phrase. the example sentence can be analysed as follows:

john (n) + ate (v) + the (det) + cake (n).

the answer is camped