COUNTING PRINCIPLES AND PROBABILITY
CHAPTER 1: COUNTING PRINCIPLES
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1. COUNTING PRINCIPLES
A. THE ADDITION PRINCIPLE
B. SYSTEMATIC LISTING
1. Simple Listing
2. Using a Product Table
–Activity: Genetic Variation
3. Using a Tree Diagram
–Activity: The Heavy Billiard Ball
C. THE MULTIPLICATION PRINCIPLE
–Activity: Bits and Bytes
–Activity: Facial Reconstruction
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2. PERMUTATIONS
A. FACTORIAL NOTATION
B. PERMUTATION FUNCTIONS
1. Identity Permutation Functions
2. Composite Permutation Functions
3. The Inverse of a Permutation Functions
C. PERMUTATIONS OF n ELEMENTS
D. PERMUTATIONS OF r ELEMENTS SELECTED FROM n ELEMENTS
E. PERMUTATIONS WITH RESTRICTIONS
1. Permutations with Grouped Elements
2. Permutations with Identical Elements
3. Circular Permutations
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3. COMBINATION
A. COMBINATIONS OF r ELEMENTS SELECTED FROM n ELEMENTS
B. COMBINATIONS WITH IDENTICAL ELEMENTS (OPTIONAL)
–Activity: The Pigeonhole Principle
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4. BINOMIAL EXPANSION
A. PASCAL’S TRIANGLE AND BINOMIAL EXPANSION
B. FINDING BINOMIAL TERMS USING COMBINATION
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CHAPTER 2: PROBABILITY
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1. BASIC CONCEPTS AND DEFINITIONS
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2. WORKING WITH PROBABILITY
–Activity: Protein Formation
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3. COUNTING PRINCIPLES AND PROBABILITY
–Activity: Winning the Lottery
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4. CONDITIONAL PROBABILITY
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5. DEPENDENT AND INDEPENDENT EVENTS
–Activity: Demonstrating Probability
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6. BINOMIAL PROBABILITY