EECS 70 Discrete Mathematics and Probability Theory Fall 2021 Review of Sets and Mathematical Notation A set is a well defined collection of objects. These…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Counting Strings (a) How many bit strings of length 10 contain at least five consecutive…
EECS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Mathematical Induction Introduction. In this note, we introduce the proof technique of mathematical induction. Induction…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Truth Tables Determine whether the following equivalences hold, by writing out truth tables. Clearly state…
EECS 70 Discrete Mathematics and Probability Theory Fall 2021 1 The Stable Matching Problem In the previous two notes, we discussed several proof techniques. In…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 Due: Friday 9/10, 10:00 PM Grace period until Friday 9/10, 11:59 PM Before you start writing…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 Due: Friday 9/24, 10:00 PM Grace period until Friday 9/24 11:59 PM Before you start writing…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Counting Cartesian Products For two sets A and B, define the cartesian product as A×B…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 Due: Friday 9/3, 10:00 PM Grace period until Friday 9/3, 11:59 PM Before you start writing…
CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Prove or Disprove Prove or disprove each of the following statements. For each proof, state…