For this exercise, we will use the following rules:

S $$ NP $($Aux$)$ VP

NP $($D$)($Adj$)$ N

VP $$ V $($NP$)($PP$)$

PP $$ P NP

$$

a$.$ She had been walking to the store.$$ b$.$ An annoying goose was honking at the tourist.

$$ N$$ Aux Aux V$$ P$$ D$$ N$$D$$ Adj$$ N$$ Aux V$$ P$$ D$$ N

$$

$1.$ Determine which of the following sentences, $($a$)$ or $($b$),$ could not be generated by the rules above and tell me why.

$2.$ Draw the tree of the sentence that can be generated by our rules.