CMU Discrete Mathematics 2/1 — Lecture Quiz
20 medium multiple-choice questions grounded in the CMU Discrete Mathematics 2/1 transcript summary. Questions pair factual recall from the detected Q&A with applied reasoning and highlight key takeaways.
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Quiz Questions & Answers
Review every prompt, the correct responses, and helpful context to prep for your own run-through.
Question 1: In the lecture the instructor labels a challenging but fair problem and invites student suggestions; which single-word response was recorded for that prompt?
martin
francesco
product rule
recursion
Question 2: When discussing which multiplication gives a particular count, which short reply appears in the transcript?
evenness
digits
product
sydney
Question 3: During a brief exchange about adding quantities, which two-word reply is recorded exactly as in the transcript?
oh yes
indeed
good point
and so
Question 4: When motivating recursion for counting even and odd ending numbers, which short transcript reply corresponds to that prompt?
and in
constructively
en and on
divide by two
Question 5: While using recursion to compute the four-digit counts, which one-word response from the transcript signals the combined value?
total
aggregate
final
sum
Question 6: At the end of the Q&A list, what two-word phrase appears when the instructor asks for the general form?
closed form
general formula
raise hand bank
pattern guess
Question 7: Which key idea connects to why you should multiply counts across independent sequential choices?
Pigeonhole Principle
Bayes' Theorem
Inclusion–Exclusion
Product Rule (Multiplicative Principle)
Question 8: If a problem forbids adjacent equal digits, which counting approach from the lecture best handles the changing options per position?
Linear Programming
Generating Functions
Graph Isomorphism
Counting with Constraints
Question 9: Why does the lecture emphasize clarifying whether a “four-digit number” allows leading zeros?
Because zeros require recursion
Because zeros are disallowed by definition
Because four-digit numbers never start with one
Because wording changes counts drastically
Question 10: What mindset does the lecture recommend for exam preparation in an open-note online format?
Rely on internet searches
Use long typed notes
Memorize formulas only
Prepare conceptual, portable handwritten notes
Question 11: Which practice does the lecture list as high-leverage for mastering discrete math homework?
Relying on solution manuals
Working only the hardest problems
Regular collaboration and early start
Submitting answers unreviewed
Question 12: When the instructor says the pattern felt 'off by one' and surprising, which counting technique do they introduce to justify it?
Direct algebraic solution
Recursion to build answers from previous cases
Graph coloring
Monte Carlo simulation
Question 13: Which cross-cutting theme warns against blindly multiplying without checking dependencies?
Ignore problem wording
Always use 10^n
Assume independence
Check dependency of later choices on earlier ones
Question 14: What pedagogical approach does the lecture promote to build intuition for counting problems?
Question-first incremental variants
Lecture-only memorization
Strict formula repetition
Multiple-choice drilling
Question 15: Which error is listed as a common pitfall when counting sequences of digits?
Using calculus
Forgetting multiplication entirely
Misreading leading-zero allowance
Assuming digits go to 12
Question 16: When designing exam questions to be fair in an open-notes format, what should instructors focus on creating?
Original problems that test conceptual understanding
Direct copies of textbook exercises
Questions solvable by web search
Memory recall only
Question 17: Which cross-cutting theme describes how small changes to problem statements affect counts?
Symmetry of solutions
Random independence
Cause-effect relationship of problem rules to count outcomes
Statistical convergence
Question 18: Which study habit does the lecture recommend to strengthen understanding beyond submitting correct answers?
Ignoring homework
Explain reasoning aloud in small groups
Copying solutions quickly
Only watching lecture videos
Question 19: What justification method did the instructor use instead of brute-force casework for many-digit counts?
Enumerate all cases
Build answers recursively from previous digit counts
Use calculus limits
Random sampling
Question 20: Which actionable step did the lecture recommend for open-note exam readiness?
Print entire textbook
Rely on long PDFs
Prepare concise physical summary sheets
Skip making notes