Subjects set theory

Students All Committees B176A3

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1. **State the problem:** We are given a Venn diagram with three committees: Prom, Awards, and Field Day. The numbers represent students in each section. We need to find how many students are in all three committees. 2. **Identify the numbers given:** - Only Prom: 4 - Only Awards: 6 - Only Field Day: 8 - Prom and Awards only: 3 - Prom and Field Day only: 5 - Awards and Field Day only: 2 - All three committees: 10 - Outside all committees: 9 3. **Understand the question:** The problem directly gives the number of students in all three committees as 10. 4. **Answer:** The number of students in all three committees is **10**. No further calculation is needed since the Venn diagram explicitly provides this number.