1. The problem states that $\xi$ is the set of students in year 12. 2. $G$ is the set of students who study German. 3. $F$ is the set of students who study French. 4. $M$ is the set of students who study Maths. 5. The condition $G \cap M = \emptyset$ means no student studies both German and Maths. 6. Therefore, the students who study German in Year 12 do not study Maths. 7. In set notation, this can be written as $G \subseteq \xi$ and $G \cap M = \emptyset$. 8. This means the German students form a subset of Year 12 students and have no overlap with Maths students.