1. **State the problem:** We have a Venn diagram with three sets: S (sheep), C (cows), and P (pigs). The numbers inside represent farms raising those animals. We want to find how many of the 47 farms do **not** raise cows.
2. **Identify the numbers in the Venn diagram:**
- Only S: 12
- S and C: 13
- Only C: 10
- S and P: 2
- All three (S, C, P): 1
- C and P: 4
- Only P: 5
3. **Total farms:** The problem states there are 47 farms in total.
4. **Find farms that raise cows:** These are the farms in any region that includes C:
- Only C: 10
- S and C: 13
- C and P: 4
- All three: 1
Sum these: $$10 + 13 + 4 + 1 = 28$$
5. **Find farms that do NOT raise cows:** Subtract farms that raise cows from total farms:
$$47 - 28 = 19$$
6. **Answer:** 19 farms do not raise cows.
Therefore, the correct choice is J. 19.
Farms No Cows 3F7214
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