module 4: permutations, combinations, and...

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Module 4: Permutations, Combinations, and Probability Section 1: Permutations and Combinations Lesson 1 Fundamental Counting Principle 5 Lesson 2 The Formula n P r and Factorial Notation 15 Lesson 3 Like Objects 25 Lesson 4 Combinations 31 Lesson 5 Binomial Theorem 41 Summary of Section 1 55 Review 57 Section Assignment 4.1 59 Section 2: Probability Lesson 1 Review of Probability Ideas 69 Lesson 2 The Probability Laws 75 Lesson 3 Two Special Cases 83 Lesson 4 Conditional Probability 87 Lesson 5 Practice Problems of Compound Events 93 Lesson 6 Probabilities Using Permutations and Combinations 97 Lesson 7 Binomial Probabilities 101 Summary of Section 2 107 Review 109 Section Assignment 4.2 111 Module 4: Answer Key 121 Principles of Mathematics 12 Contents 1 Module 4

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Page 1: Module 4: Permutations, Combinations, and Probabilitymedia.openschool.bc.ca/ocrmedia/pmath12/pdf/mod4_section1.pdf · Review 109 Section Assignment 4.2 111 Section 3: Provincial Exam

Module 4: Permutations, Combinations, and Probability

Section 1: Permutations and CombinationsLesson 1 Fundamental Counting Principle 5

Lesson 2 The Formula nPr and Factorial Notation 15

Lesson 3 Like Objects 25

Lesson 4 Combinations 31

Lesson 5 Binomial Theorem 41

Summary of Section 1 55

Review 57

Section Assignment 4.1 59

Section 2: ProbabilityLesson 1 Review of Probability Ideas 69

Lesson 2 The Probability Laws 75

Lesson 3 Two Special Cases 83

Lesson 4 Conditional Probability 87

Lesson 5 Practice Problems of Compound Events 93

Lesson 6 Probabilities Using Permutations and Combinations 97

Lesson 7 Binomial Probabilities 101

Summary of Section 2 107

Review 109

Section Assignment 4.2 111

Section 3: Provincial Exam Practice 119

Module 4: Answer Key 121

Principles of Mathematics 12 Contents 1

Module 4

Page 2: Module 4: Permutations, Combinations, and Probabilitymedia.openschool.bc.ca/ocrmedia/pmath12/pdf/mod4_section1.pdf · Review 109 Section Assignment 4.2 111 Section 3: Provincial Exam

2 Contents Principles of Mathematics 12

Module 4

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