The logic problems in this set present you with three true statements: Fact A, Fact B and Fact C. Then you are given three more statements (labelled I, II and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statement could be true. Choose your answer based solely on the information given in the first three facts.
Fact A: All hats have brims.
Fact B: There are black hats and blue hats.
Fact C: Baseball caps are hats
If the first three statements are facts, which of the following statements must also he a fact?
I. All caps have brims
II. Some baseball caps are blue
III. Baseball caps have no brims.