Counting Techniques and Probability

Counting Techniques

  • Counting by Drawing Diagrams
  • Rule of Sum and Rule of Product
  • Permutations
  • Permutations of a Set with Repeated Elements
  • Permutations of a Set with Restriction
  • Circular Permutation
  • Combination
  • Compare Permutation and Combination
  • The Pigeonhole Principle
  • Combinations with Repetition Allowed
  • Problems Involving “At Least” and “At Most”

Probability

  • Introduction to Sets
  • Introduction to Probability
  • Theoretical Probability and Experimental Probability
  • Compound Events Linked by “And ” and “Or”
  • Probability of Independent Events and Dependent Events
  • Probability of Mutually Exclusive Events and Overlapping Events
  • Using Area Model for Conditional Probability – Bayes’ Formula (For Competition)