The structures below represent two interpretations of the compound noun 'Greek history teacher'. Which of the following statements is/are CORRECT?

For English noun-noun compounds, the \(\textbf{rightmost noun} \) is typically the head. Modifiers combine first, then the resulting phrase combines with the head noun.
In diagram (I), 'Greek' is the head of N1, and 'teacher' is the head of N3.
In diagram (II), 'teacher' is the head of both N1 and N2.
Step 1: Read the structures.
- In Diagram I, N3 merges history (N4) +teacher (N5) \(\Rightarrow\) head = teacher (right-headed noun-noun compound 'history teacher'). Then N1 merges Greek (N2) + N3 ('history teacher') \(\Rightarrow\) overall head remains teacher. Hence (A) is true; (C) is false because 'Greek' is not the head of N1.
Step 2: Check Diagram II.
- N2 merges Greek (N4) + history (N5) \(\Rightarrow\) head = history (compound 'Greek history'). N1 then merges N2 ('Greek history') + teacher (N3) \(\Rightarrow\) head = teacher ('Greek history teacher'). Thus (B) is true; (D) is false since N2 is headed by history, not 'teacher'.
\[ \boxed{\text{Correct Answer: (A) and (B)}} \]
Consider the following two statements, S1 and S2 and choose the correct option.
S1: If X is an adjunct of Y, then Y is an argument of X because the presence of Y in a sentence is necessary for X to occur.
S2: It is not necessarily true that if Y is an argument of X, then X is Y's adjunct.
Given the sentences S1 and S2, choose the option that explains why S2 cannot be derived from S1.
S1: Deadpool was interested in Wolverine's description of morphosyntax.
S2: *What was Deadpool interested in Wolverine's description of?