7: Sets, Counting and Probability
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In this chapter, you will learn to:
- Use set theory and Venn diagrams to solve counting problems.
- Use the Multiplication Axiom to solve counting problems.
- Use Permutations to solve counting problems.
- Use Combinations to solve counting problems.
- Use the Binomial Theorem to expand (x+y)^n
- 7.1: Sets and Counting
- A set is a collection of objects, and its members are called the elements of the set. We name the set by using capital letters, and enclose its members in braces.
- 7.5: Introduction to Probability
- The probability of a specified event is the chance or likelihood that it will occur.
- 7.6: Basic Concepts
- If you roll a die, pick a card from deck of playing cards, or randomly select a person and observe their hair color, we are executing an experiment or procedure. In probability, we look at the likelihood of different outcomes.