1. **State the problem:** Find the total number of students who study Music (M). The numbers inside the Music circle are: 5 (only M), 3 (M and D), 4 (M and G), and 2 (M, D and G). Add these numbers to find total Music students: $$5 + 3 + 4 + 2 = 14$$ 2. **State the problem:** Find how many students study exactly two subjects. The students studying exactly two subjects are those in intersections of two sets only, excluding the three-set intersection. From the diagram: - Music and Drama only: 3 - Music and Geography only: 4 - Drama and Geography only: 9 Sum these: $$3 + 4 + 9 = 16$$ 3. **State the problem:** Two students are chosen randomly from those who study Drama. First, find the total number of Drama students. Numbers in Drama circle: - Only Drama: 8 - M and D: 3 - D and G: 9 - M, D, G: 2 Total Drama students: $$8 + 3 + 9 + 2 = 22$$ Thus, the number of Drama students is 22. **Final Answers:** (a) Number who study Music: $14$. (b) Number who study exactly two subjects: $16$. (c) Number who study Drama: $22$.