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The correct answer is option 1: 1 only.
Ammonium nitrate is the only substance in the given options that is used both as a fertilizer and an explosive.
1. Ammonium nitrate: This compound is commonly used in agriculture as a nitrogen-rich fertilizer. It provides essential nutrients for plant growth. However, it can also be explosively sensitive under certain conditions, making it useful for certain industrial applications and in the production of explosives.
2. Calcium sulfate: This compound, also known as gypsum, is primarily used in construction materials and soil amendments. It is not used as an explosive.
3. Potassium permanganate: This compound is not used as a fertilizer or an explosive. It is primarily used as a disinfectant, oxidizing agent, and water treatment chemical.
Therefore, only option 1, which includes ammonium nitrate, is correct in stating that it is used as both a fertilizer and an explosive.