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Mathematics for Data Science I, Quiz 1

September 2025 term, 26 Oct 2025, Set QDF2

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Figure from the original question paper Figure from the original question paper An online degree programme offers the following courses: - **Level I:** Mathematics, Statistics - **Level II:** Machine Learning Foundations, Mathematical Thinking - **Level III:** Deep Learning, Machine Learning Techniques, Advanced Algorithms Every course in Level I is a prerequisite for every course in Level II, and every course in Level II is a prerequisite for every course in Level III. Let $M$ be the set of all these courses and define two relations on $M$: $$R = \{(A, B) \mid A \text{ and } B \text{ are courses in the same level}\},$$ $$S = \{(A, B) \mid A \text{ is a prerequisite for } B\}.$$ Which of the following statements is/are correct?