'Distinct objects' presentation slideshows

Probability

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CS 173: Discrete Mathematical Structures

CS 173: Discrete Mathematical Structures. Cinda Heeren heeren@cs.uiuc.edu Siebel Center, rm 2213 Office Hours: M 11a-12p. CS 173 Announcements. Homework 8 available. Due 10/31, 8a. Midterm 2 11/9, 7-9p. Email me with conflicts. P(17,10) = 17x16x15x14x13x12x11. CS173 Permutations.

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Chapter 7 Logic, Sets, and Counting

Chapter 7 Logic, Sets, and Counting. Section 4 Permutations and Combinations. 7.4 Permutations and Combinations.

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Counting Techniques and Some Other Math Team Strategies

Counting Techniques and Some Other Math Team Strategies. Susan Schwartz Wildstrom Walt Whitman High School Bethesda, MD NCTM National Meeting April 6, 2001 Orlando, FL. COUNTING. Review of familiar ideas

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Permutations and Combinations

Permutations and Combinations. In this section, techniques will be introduced for counting the unordered selections of distinct objects and the ordered arrangements of objects of a finite set. 6.2.1 Arrangements.

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SET THEORY

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Chapter 11

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AS Biology Core Principles

AS Biology Core Principles. The Electron Microscope. Aims. Resolving power The resolving power of light & electron microscopes The difference between the light & electron microscope Transmission & scanning electron microscopy. Introduction. Microscopes magnify & resolve images

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Introduction to Probability: Counting Methods

Introduction to Probability: Counting Methods. Rutgers University Discrete Mathematics for ECE 14:332:202. Why Probability?. We can describe processes for which the outcome is uncertain By their average behavior By the likelihood of particular outcomes

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COMBINATIONS AND PERMUTATIONS

COMBINATIONS AND PERMUTATIONS. REVISION PROBABILITY. A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed three times, what is the probability of getting two tails and one head?. T hree Sigma Rule.

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Section 10-2

Section 10-2. Using the Fundamental Counting Principle. Using the Fundamental Counting Principle. Uniformity and the Fundamental Counting Principle Factorials Arrangements of Objects. Uniformity Criterion for Multiple-Part Tasks.

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3.4 Additional Topics in Probability and Counting

3.4 Additional Topics in Probability and Counting. Arranging objects in order Choosing several objects from a group without regard to order Counting Principles. Permutation. A permutation is an ordered arrangement of objects. The of different permutations of n distinct objects is n!.

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Accelerated Math II Circular Permutations

October 31, 2013. Accelerated Math II Circular Permutations. How many different ways can we put 3 different foods on a plate?. How many different ways can we put 3 different foods on a plate?. How many different ways can we put 3 different foods on a plate?.

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Chapter 1: Introduction Math 4203

Spring 2011 Ayona Chatterjee. Chapter 1: Introduction Math 4203. Theorem1: Basic principle of counting. If an operation consists of two steps, of which the first can be done in n 1 ways and the second can be done in n 2 ways, then the whole operation can be done in n 1 n 2 ways. Example.

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Combinations and the Binomial Theorem

Combinations and the Binomial Theorem. Yuvraj , Sonia, Tejpaul , Samer & Tianna. 5.1 Organized Counting With Venn Diagrams. Venn Diagrams can help you visualize the relationships between sets of items, especially when the sets have some items in common. Key Terms Set: A group of items

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COMBINATION

COMBINATION. Combinations. A combination is one of the different arrangements of a group of items where order does not matter. Where n & r are nonnegative integers & r < n. Generalization .

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Permutation

Permutation. God Alone.com Advocating the worship of God Alone. What are Permutations?. Permutation is the rearranging in a orderly fashion objects or values. Mathematically it defines an operation which arranges a number of objects i.e. digits in a specific order. For Example.

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Permutations When all the objects are not distinct objects

Permutations When all the objects are not distinct objects. Theorem 1: The number of permutations of n objects, where p objects are of the same kind and rest are all different = . Theorem 2:

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Theory Infants who have not yet identified surface features (incl. color, pattern) as relevant and do not

Wilcox & Chapa (rev. 2002). Priming infants to attend to color and pattern information in an individuation task. Theory Infants who have not yet identified surface features (incl. color, pattern) as relevant and do not typically include them in their event representations

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