Series: Permutations & Combinations (8 Lessons)
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Perms & Combs: Fundamental Counting Principle 500 
Perms: Factorial Notation! Linear Permutation 505 
Perms Linear Permutations With Restrictions 510 
Perms: Circular & Ring Permutations 515 
Combinations: Combinations Part I 520 
Combinations s: Combinations Part II 525 
Perms & Combs: Pascal's Triangle & Pathways 530 
Perms & Combs: The Binomial Theorem 535
About this Series
 Lessons: 8
 Total Time: 8h 27m
 Use: Watch Online
 Access Period: 180 Days
 Created At: 08/05/2009
 Last Updated At: 01/26/2014
These 8 lesson will teach you perms & combs. You will learn the difference between a permutation and a combination and see why it should be called a "Permutation" Lock rather than a "Combination" Lock.
These lessons will enable you to understand and answer questions:
 invloving objects, numbers and letters
 using factorial notation (!)
 with restrictions and repetitions
 with number in a lottery, letters in a word, people on committees, sums of money, selections from objects, cards in a standard deck
 with polygon diagonals
 with selections from a group
 where objects must first be selected then arranged
 using Pascal's triangle and the binomial theorem
 regarding pathways
About this Author
 Teacher Sydney
 65 lessons
 Joined:
07/02/2009
Teacher Sydney is a certified teacher, B.A., B. Ed. (Math Major). She prepared a math help program consisting of 65 very comprehensive, plain and "no fluff" math video lessons.
These lessons are a convenient and easy way to get math help. Pick and choose only the lesson(s) or packages (series) that you want. There are free previews. You might look at the Transcripts for a quick review of the lesson content.
For a complete list of lessons available on MindBites (mathmadesimple.mindbites.com. To access free previews.
To Contact us please email mathmadesimple.com@gmail.com
Lessons Included
 Perms & Combs: Fundamental Counting Principle 500
 Perms: Factorial Notation! Linear Permutation 505
 Perms Linear Permutations With Restrictions 510
 Perms: Circular & Ring Permutations 515
 Combinations: Combinations Part I 520
 Combinations s: Combinations Part II 525
 Perms & Combs: Pascal's Triangle & Pathways 530
 Perms & Combs: The Binomial Theorem 535
None of the lesson in this series have been reviewed.
Below are the descriptions for each of the lessons included in the series:

Perms & Combs: Fundamental Counting Principle 500
This 56 minute Lesson is the first in the permutations & combinations series. It is the basis for understanding how to deal with permutations and combinations (perms & combs) and will show you how to:
 draw a tree diagram
 answer questions involving objects, numbers and letters using the fundamental counting principleSample question: How many 4 digit numbers can be formed from the digits 1, 3, 4, 5, 8, 9 if no digit is repeated and these numbers are even numbers
This lesson contains explanations of the concepts and 16 example questions with step by step solutions plus 7 interactive review questions with solutions.

Perms: Factorial Notation! Linear Permutation 505
This 66 minute perms & combs lesson introduces and works with factorial notation by simplifying expressions and solving equations with factorials. This lesson also includes the definition and formula for a permutation. This lesson will show you how to:
 answer questions using factorial notation
 use the permutation formula for questions with no restrictionsSample questions:
1. Solve for n. (n+1)!/(n1)! = 90
2. Some motorcycle license plates consist of 2 different letters, followed by 3 different digits. How many license plates are possible?This lesson contains explanations of the concepts and 22 example questions with step by step solutions plus 10 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 135 Solving Linear Equations Part I (http://www.mindbites.com/lesson/5068)
 230 Solving Quadratic Equations by Factoring (http://www.mindbites.com/lesson/5087)
 500 the Fundamental Counting Principle (http://www.mindbites.com/lesson/5104) 
Perms Linear Permutations With Restrictions 510
This 69 minute perms lesson introduces and works with permutations which have restrictions on the objects in the question. This lesson will show you how to answer permutation questions:
 with basic restrictions
 with repetition of objectsSample question:
In how many ways can the letters of the word FATHER be arranged if the vowels are kept together?This lesson contains explanations of the concepts and 20 example questions with step by step solutions plus 4 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 500 the Fundamental Counting Principle (http://www.mindbites.com/lesson/5104)
 505 Factorial Notation & Linear Permutations (http://www.mindbites.com/lesson/5105) 
Perms: Circular & Ring Permutations 515
This 49 minute permutations lesson introduces and works with the concept of a circular permutation and how it differs from a linear permutation. It also deals with the ring permutation which is a circular permutation that can be flipped or reflected. This lesson will show you how to answer:
 circular permutation questions with and without restrictions
 ring permutation questions with and without restrictionsSample question: In how many ways can 11 people take a seat at a round table if 4 of the people want to sit together?
This lesson contains explanations of the concepts and 18 example questions with step by step solutions plus 5 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 500 the Fundamental Counting Principle (http://www.mindbites.com/lesson/5104)
 505 Factorial Notation & Linear Permutations (http://www.mindbites.com/lesson/5105)
 510 Linear Permutations With Restrictions (http://www.mindbites.com/lesson/5088) 
Combinations: Combinations Part I 520
This 53 minute combinations lesson is all about combinations and the difference between a combination and a permutation. It really should be called a permutation lock rather than a combination lock! This lesson will show you how to use:
 the formula for a permutation
 the formula for a combination
and to answer questions on:
 numbers in lotteries
 letters in a word
 people on committees
 sums of money
 selections from objects
 cards in a standard deckSample question: A student council has 10 members, 6 girls & 4 boys. A committee of 6 is chosen to plan for a dance In how many ways can this be done if Mary (one of the 6 girls) must be on the committee?
This lesson contains explanations of the concepts and 16 sample questions with step by step solutions plus 6 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 230 Solving Quadratic Equations by Factoring (http://www.mindbites.com/lesson/5087)
 505 Factorial Notation & Linear Permutations (http://www.mindbites.com/lesson/5105) 
Combinations s: Combinations Part II 525
This 60 minute combinations lesson is all about combinations with noncollinear points, polygon diagonals, and more difficult problems with numbers on committees and cards. Also covered in this lesson are selections from the same group, dividing objects into two groups and choosing objects first before they are arranged. This lesson will show you how to:
 draw polygons using noncollinear points & find the number of diagonals
 answer questions involving cards and committees with at least or at most requirements
 answer questions involving selections from the same group and dividing objects into two groups of equal size
 answer questions where the objects must first be selected and then arrangedSample question: How many diagonals does a hexagon have? (Diagonals are line segments that join two vertices but are not sides.)
This lesson contains explanations of the concepts and 20 example questions with step by step solutions plus 7 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 230 Solving Quadratic Equations by Factoring (http://www.mindbites.com/lesson/5087)
 505 Factorial Notation & Linear Permutations (http://www.mindbites.com/lesson/5105)
 520 Combinations Part I (http://www.mindbites.com/lesson/5090) 
Perms & Combs: Pascal's Triangle & Pathways 530
This 86 minute lesson is all about Pascal’s triangle and how it is used to find the coefficients in the expansion of a binomial. Coefficients are also found using combinations. In addition the relationship is also shown between Pascal’s triangle and Pathways. This lesson will show you how to:
 complete Pascal’s triangle for any value of the exponent in the expansion of a binomial
 choose the coefficients in the expansion of a binomial by using combinations
 do questions to find the number of Pathways from A to BSample question: Expand (2x – 1)^4 using Pascal’s Triangle to determine the numerical coefficients.
This lesson contains explanations of the concepts and 18 example questions with step by step solutions plus 10 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063)
 505 Factorial Notation & Linear Permutations (http://www.mindbites.com/lesson/5105)
 510 Linear Permutations With Restrictions (http://www.mindbites.com/lesson/5088)
 520 Combinations Part I (http://www.mindbites.com/lesson/5090) 
Perms & Combs: The Binomial Theorem 535
This 67 minute perms & combs lesson deals with the Binomial Theorem. This lesson will show you how to find:
 a specific term
 the middle term
 the constant termAfter this lesson, you will also know how to:
 expand a binomial by using combinations to find the coefficients
 algebraically find the constant termSample question: Find the middle term in the expansion of (4a + d)^10.
This lesson contains explanations of the concepts and 15 example questions with step by step solutions plus 7 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson include:
 165 The Zero, Negative and Rational Exponents (http://www.mindbites.com/lesson/5069)
 520 Combinations Part I (http://www.mindbites.com/lesson/5090)
 530 Pascal’s Triangle & Pathways (http://www.mindbites.com/lesson/5092)
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