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Documents Permutations and Combinations

For our CAT example, we do the following: 3! 3 x 2 x 1 6 3_C_2 = ------ = ----------- = --- = 3 2!(1!) 2 x 1 (1) 2 For our CAT example, we have: 3! 3 x 2 x 1 3_P_2 = ----…

Education array and phased array antennna

1. INTRODUCTION • For some applications single element antennas are unable to meet the gain or radiation pattern requirements. • So, the concept of an antenna array was…

Automotive Counting Technique, Permutation, Combination

1. Counting Techniques, Permutations and Combinations 2. Fundamental Counting Principle 3. The Fundamental Counting Principle (FCP)  4. Example 1 The Shirt Mart sells…

Technology The Origin of the Universe and the Arrow of Time

1. The Originof the Universeand theArrow of Time Sean CarrollCalifornia Instituteof Technologypreposterousuniverse.com 2. What is Time?A label on points in theuniverse, just…

Documents Chapter 8 – Compounds of Carbon. Why is Carbon Important? Carbon compounds make up over 90% of all...

Slide 1Chapter 8 – Compounds of Carbon Slide 2 Why is Carbon Important? Carbon compounds make up over 90% of all chemical compounds. They also form the basis of living…

Documents Chapter 16 Spontaneity, entropy and free energy. Spontaneous l A reaction that will occur without...

Slide 1Chapter 16 Spontaneity, entropy and free energy Slide 2 Spontaneous l A reaction that will occur without outside intervention. l We cant determine how fast. l We need…

Documents © The McGraw-Hill Companies, Inc., 2000 4-1 Chapter 4 Counting Techniques.

Slide 1© The McGraw-Hill Companies, Inc., 2000 4-1 Chapter 4 Counting Techniques Slide 2 © The McGraw-Hill Companies, Inc., 2000 4-2 Outline 4-1 Introduction 4-2 Tree Diagrams…

Documents THE SAME OR NOT THE SAME…THAT IS THE QUESTION? MATH ALLIANCE TEACHING ALL LEARNERS January 11,...

Slide 1THE SAME OR NOT THE SAME…THAT IS THE QUESTION? MATH ALLIANCE TEACHING ALL LEARNERS January 11, 2011 Beth SchefelkerJudy Winn Melissa Hedges Slide 2 LEARNING INTENTIONS…

Documents Copyright ©2006 Brooks/Cole, a division of Thomson Learning, Inc. Random Variables Chapter 8.

Slide 1Copyright ©2006 Brooks/Cole, a division of Thomson Learning, Inc. Random Variables Chapter 8 Slide 2 Copyright ©2006 Brooks/Cole, a division of Thomson Learning,…

Documents Chapter 7 Random Variables. Warm -up A couple plans to have three children. There are 8 possible...

Slide 1Chapter 7 Random Variables Slide 2 Warm -up A couple plans to have three children. There are 8 possible arrangements of girls and boys. For example, GGB means the…