Mathematics · Set Theory

Which of the following statements correctly describe the mathematical distinction between Equal sets and Equivalent sets? I. Equal sets are defined as sets that contain exactly the same elements, regardless of order. II. Equivalent sets are defined as sets that contain exactly the same elements but written in a different sequence. III. The sets {a, b} and {1, 2} serve as an example of equivalent sets because they share the same cardinality. IV. Two sets are equal if they solely share the same cardinality, regardless of the specific elements. Choose the most appropriate answer from the options given below: