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Math5_Probability_-Additional-Topics-in-Probability-and-Counting_103954.pptx
This document discusses additional probability and counting topics including permutations, combinations, and applications of counting principles. Permutations and combinations are types of arrangements and selections that are counted using factorial and binomial coefficients. Counting principles are applied to probability problems.
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Math5_Probability_-Additional-Topics-in-Probability-and-Counting_103954.pptx
- 1. Probability Additional Topics inProbability and Counting
- 2. Additional Topics inProbability and Counting Permutations
- 7. Additional Topics inProbability and Counting Combinations
- 9. Additional Topics inProbability and Counting Applications of Counting Principles
Editor's Notes
- #3 the Fundamental Counting Principle is used to find the number of ways two or more events can occur in sequence. An important application of the Fundamental Counting Principle is determining the number of ways that n objects can be arranged in order. An ordering of n objects is called a permutation.
- #5 You may want to choose some of the objects in a group and put them in order. Such an ordering is called a permutation of n objects taken r at a time.
- #8 You can think of a combination of n objects chosen r at a time as a permutation of n objects in which the r selected objects are alike and the remaining n - r (not selected) objects are alike.