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COMP 2804: All Questions

COMP 2804: Midterm Questions

COMP 2804: Final Exam Questions

Chapter 3: Counting

3.1: The Product Rule

3.1.1: Counting Bitstrings of Length n

3.1.2: Counting Functions

3.1.3: Placing Books on Shelves

3.10: The Pigeonhole Principle

3.2.1: The Bijection Rule

3.3: The Complement Rule

3.4: The Sum Rule

3.5: The Principle of Inclusion and Exclusion

3.6: Permutations and Binomial Coefficients

3.6.1: Permutations and Binomial Coefficients

3.6.2: Newton's Binomial Theorem

3.6.2: Permutations and Binomial Coefficients

3.7: Combinatorial Proof

3.9.1: Reordering the Letters of a Word

3.9.2: Counting Solutions of Linear Equations

Chapter 4: Recursion

4.1: Recursive Functions

4.2: Fibonacci Numbers

4.2.1: Counting 00-Free Bitstrings

4.3: A Recursively Defined Set

4.4: Uniform Probability Spaces

4.5: Euclid's Algorithm

Chapter 5: Discrete Probability

5: Discrete Probability

5.11: Independent Events

5.11.1: Rolling Two Dice

5.11.2: A Basic Property of Independent Events

5.3: Basic Rules of Probability

5.4.1: The Probability of Getting a Full House

5.5: The Birthday Paradox

5.8: Conditional Probability

5.9: The Law of Total Probability

Chapter 6: Random Variables and Expectation

6: Random Variables and Expectation

6.1: Random Variables

6.2: Independent Random Variables

6.4: Expected Values

6.5: Linearity of Expectations

6.6.1: Determining the Expected Value

6.7.1: Determining the Expected Value

6.8: Indicator Random Variables