This week, we drafted a very basic set of Phrase Structure Rules below that can only produce a small set of sentences in English.

S $-->$ NP VP

NP $-->($Det$)($Adj$)$ N $($PP$)$

VP $-->$ V $($NP$)($PP$)$

PP $-->$ P NP

Which of the following sentences CANNOT be generated by our set of Phrase Structure Rules? $[$SELECT ALL THAT APPLY$]$

$1.$ The parrot attacked the professor on Friday.

$2.$ Joe gave Mary the book.

$3.$ Will thought you were smart.

$4.$ Peter bought a big balloon from the store.