Step 1: Verify each commodity-country pair against world production rankings.
- Oats: Russia — Russia is consistently among the world’s top producers of oats. $\Rightarrow$ Correct match.
- Wheat: United States — The U.S. is one of the top global wheat producers (after China, India, Russia). $\Rightarrow$ Correct match.
- Apple: China — China is the largest producer of apples in the world. $\Rightarrow$ Correct match.
- Carrot: India — India is a major producer of vegetables, but it is not among the top five producers of carrots (China, Uzbekistan, Russia, USA, Ukraine dominate). $\Rightarrow$ Incorrect match.
- Rice: Indonesia — Indonesia is among the top five producers of rice (after China, India, Bangladesh, and others). $\Rightarrow$ Correct match.
Step 2: Conclusion.
The only incorrect (not rightly matched) pair is Carrot : India.
\[
\boxed{\text{Answer: D}}
\]