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# M-118 Chapter 3 Study Guide Math M-118

IU

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This 4 page Study Guide was uploaded by idk on Thursday September 17, 2015. The Study Guide belongs to Math M-118 at Indiana University taught by George O'Donnell in Summer 2015. Since its upload, it has received 69 views. For similar materials see Finite Math in Mathematics (M) at Indiana University.

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Date Created: 09/17/15

Chapter 3 Notes Combinatoricsis the mathematics of counting nding out how many ways something can be done there are many experiments where you can count all the outcomes example Flipping a coin 2 out comes heads and tails rolling a die l 6 possible outcomes 123456 each act of an experiment is called a stage Fundamental Counting Principle FCP making a spot for each stage and placing a dot multiplication between each spot example How many ways can a committee of twenty people elect a president secretary and treasurer 20x19x18684 For Permutations order matters the word permute means to arrange when there is a group of N objects we use the notation Pnk n things taken K at a time repetition is not allowed for a permutation Al permutations can be solved by FCP Circular Permutations Arranging objects in a circular pattern a circular permutation of n objects denoted by CPn can be calculated by CPn n1 Combinations is another method for counting the number of possible outcomes of an experiment it is closely related to a permutation in that we are picking k objects from a group of n and repetition is not allowed where it is different from a permutation is that it is only used for experiments order does not matter notation cnk formula cnkn knk Chapter 3 Notes Combinatoricsis the mathematics of counting finding out how many ways something can be done there are many experiments where you can count all the outcomes example Flipping a coin 2 out comes heads and tails rolling a die 9 6 possible outcomes 123456 each act of an experiment is called a stage Fundamental Counting Principle FCP making a spot for each stage and placing a dot multiplication between each spot example How many ways can a committee of twenty people elect a president secretary and treasurer 20x19x18684 For Permutations order matters the word permute means to arrange when there is a group of N objects we use the notation Pnk n things taken K at a time repetition is not allowed for a permutation All permutations can be solved by FCP Circular Permutations Arranging objects in a circular pattern a circular permutation of n objects denoted by CPn can be calculated by CPn nl Combinations is another method for counting the number of possible outcomes of an experiment it is closely related to a permutation in that we are picking k objects from a group of n and repetition is not allowed where it is different from a permutation is that it is only used for experiments order does not matter notation cnk formula cnkn knk

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