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Module #4: Counting & Introduction to Probability

Objectives

  1. Count arrangements of objects
  2. Use the Sum Rule to count
  3. Use the product Rule to Count
  4. Use the principle of Inclusion-Exclusion
  5. Use tree diagrams to solve counting problems
  6. Use the Pigeonhole Principle
  7. Use the principle of Inclusion-Exclusion
  8. Count unordered and ordered arrangements of elements of a set
  9. Use the Binomial Theorem
  10. Calculate simple discrete probablities

Background Material

0. Text: Chapter 4

  1. Combinatorics (4.1-4.4)
  2. Probability (5.1)
1. Wikepedia: Combinatorics
2. Old Homework Solutions
3. More Old Homework Solutions
4. Counting Problems

Homework 3 [PDF]
Homework 3 Solutions [PDF]