'Multiplication principle' presentation slideshows

Chapter 9

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Chapter 6: Combinatorics

Chapter 6: Combinatorics. How to Count:. Combinatorics is about counting. Pigeonhole was about counting too. General Counting Problem: considers the selection of items from a bigger set either with or without repetition and with or without a specific order of selection. Example:.

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For example, there 12 permutations for the letters A, B, C and D taken 2 at a time.

Permutation of r objects taken from n different object. A permutation of r objects taken from n different objects without repetition is an arrangement of the objects in a specific order. For example, there 12 permutations for the letters A, B, C and D taken 2 at a time.

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Permutations and Combinations

Permutations and Combinations. Agenda. Permutations Combinations Some derivation of Permutations and Combinations Eliminating Duplicates r-Combinations with Repetitions. Permutations. Sample questions

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9.5 Counting Subsets of a Set: Combinations

9.5 Counting Subsets of a Set: Combinations. r-Combination. An r-combination from a set of n-elements is an r-subset of an n-set. Any of the symbols C ( n , r ), n C r , C n , r , is used to count the number of r-subsets from an n-set . r-Combinations.

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Learning Objectives for Section 7.3 Basic Counting Principles

Learning Objectives for Section 7.3 Basic Counting Principles. After this lesson, you should be able to apply and use the addition principle. draw and interpret Venn diagrams. apply and use the multiplication principle. Both Psych and English. Opening Example.

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Discrete Structures

Discrete Structures. Permutations. Introduction. Assume we have a set A containing n items. E.g. alphabet, decimal digits, playing cards, etc. We can arrange these items. Types of Sequences from a Set. There are a number of different ways to create a sequence from a set

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Chapter 5 Probability

Chapter 5 Probability. 5.5 Counting Techniques. Multiplication Principle of Counting. If a task consists of a sequence of choices in which there are p selections for the first choice, q selections for the second choice, r selections for the third choice, and so on.

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Learning Objectives for Section 7.3 Basic Counting Principles

Learning Objectives for Section 7.3 Basic Counting Principles. After this lesson, you should be able to apply and use the addition principle. draw and interpret Venn diagrams. apply and use the multiplication principle. Both Psych and English. Opening Example.

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Learning Objectives for Section 7.3 Basic Counting Principles

Learning Objectives for Section 7.3 Basic Counting Principles. After this lesson, you should be able to apply and use the addition principle. draw and interpret Venn diagrams. apply and use the multiplication principle. Both Psych and English. Opening Example.

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Basic Combinatorics

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Learning Objectives for Section 7.3 Basic Counting Principles

Learning Objectives for Section 7.3 Basic Counting Principles. After this lesson, you should be able to apply and use the addition principle. draw and interpret Venn diagrams. apply and use the multiplication principle. 7.3 Basic Counting Principles.

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Introduction to Probability: Part I

Introduction to Probability: Part I. Definitions. An EXPERIMENT is an activity with observable results. For instance, if a quarter is tossed once, we can observe the results: heads or tails. An OUTCOME is any of the possible results of an experiment.

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Solving Linear Inequalities

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Chapter 6 Review

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CSCI 1900 Discrete Structures

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Probability of Independent Events

M8D2. Students will determine the number of outcomes related to a given event. Probability of Independent Events. M8D3. Students will use the basic laws of probability. B. Apply the multiplication principle of counting. Probability can be expressed as a ratio, decimal or percent. .

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Section 6.2.1 Probability Models

Section 6.2.1 Probability Models. AP Statistics. Sample Space. The sample space S of random phenomenon is the set of all possible outcomes. Event. An event is any outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space. Probability Model.

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Section 6.2.1 Probability Models

Section 6.2.1 Probability Models. Sample Space. The sample space S of random phenomenon is the set of all possible outcomes. Event. An event is any outcome or a set of outcomes of a random phenomenon. That is, an event is a subset of the sample space. Probability Model.

258 views • 10 slides