The student demonstrates a strong understanding of correct mathematical notation, symbols, and terminology, consistently and accurately using them throughout the exploration. Key terms, such as combinations, permutations, and factorials, are defined and explained when first introduced. The main concepts, including calculating a unique number of pairs, are described in the introduction. Multiple forms of mathematical representation, including formulae, tables, and figures, are used appropriately. Mathematical calculations are explained, and data presentation is described, allowing the reader to easily understand the content. However, the student could improve the investigation by utilizing deductive methods and logical proofs. Overall, the graphs, tables, and diagrams are properly labeled.