The student demonstrates a strong understanding of mathematical notation, symbols, and terminology by consistently and correctly using the combination and permutation formulas. They also define key terms and variables when they are first introduced, ensuring clarity in their investigation. However, the student should improve their description of the main concepts in the introduction, providing a brief explanation of permutations and combinations. Additionally, they could further enhance their exploration by providing detailed explanations of additional terms in appropriate places. The student effectively uses multiple forms of mathematical representation, such as charts, tables, and formulae, to support their investigation. They explain all mathematical calculations and data presentations, showcasing a thorough understanding of the concepts. The student also demonstrates deductive reasoning and logical thinking in their analysis. Finally, they appropriately label graphs, tables, and diagrams in the additional material.
