Subjects set theory

Field Day Total Ffd13C

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1. **State the problem:** We need to find the total number of students on the Field Day committee. 2. **Identify the relevant parts of the Venn diagram:** The Field Day committee includes: - Field Day only: 8 - Prom and Field Day (excluding Awards): 5 - Awards and Field Day (excluding Prom): 2 - Intersection of all three committees: 10 3. **Formula:** Total Field Day members = (Field Day only) + (Prom \& Field Day) + (Awards \& Field Day) + (All three committees) 4. **Calculate:** $$\text{Total Field Day} = 8 + 5 + 2 + 10$$ 5. **Simplify:** $$\text{Total Field Day} = 25$$ 6. **Answer:** There are 25 students on the Field Day committee.