1. **State the problem:** We need to find how many students are not on the Prom committee. 2. **Identify the numbers related to the Prom committee:** - Prom only: 4 - Prom and Awards only: 3 - Prom and Field Day only: 5 - Prom, Awards, and Field Day (all three): 10 3. **Calculate the total number of students on the Prom committee:** $$4 + 3 + 5 + 10 = 22$$ 4. **Identify the total number of students:** Add all numbers inside and outside the circles: $$4 + 6 + 8 + 3 + 5 + 2 + 10 + 9 = 47$$ 5. **Calculate the number of students not on the Prom committee:** $$47 - 22 = 25$$ **Final answer:** There are **25** students not on the Prom committee.