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The selection of Sodium, Potassium, and Ammonium Salts as a group of soluble salts is accurate because these salts are known for being highly soluble in water. Sodium salts (like sodium chloride), potassium salts (like potassium nitrate), and ammonium salts (like ammonium sulfate) generally dissolve readily in aqueous solutions, which is a defining characteristic of soluble salts.

In contrast, the other options contain salts that are not universally soluble. For instance, silver chloride and lead sulfate are examples of salts that have limited solubility in water. While potassium nitrate is soluble, the presence of the other compounds in the first option makes it an incorrect choice as a complete group of soluble salts. Calcium sulfate and barium sulfate, from the third choice, are also known for their limited solubility, and although nitrates are usually soluble, the majority of the group is not. The last option includes lead carbonate, which is poorly soluble, even though ammonium sulfate is soluble. Thus, the correct answer brings together a group that is consistently soluble, making it the right choice.