Perms & Combs: Pascal's Triangle & Pathways 530

This lesson is part of the following series:

Permutations & Combinations (8 lessons, $30.69)

This 86 minute perms & combs 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 B

Sample 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)

Teacher Sydney is a certified teacher, B.A., B. Ed. (Math Major) with 30+ years experience teaching Math to High School and Continuing Education students. She developed these very comprehensive, detailed audio visual math tutorials to help those who were serious about learning math. Her success stories with students are numerous, from students who said to her "I never understood math until your classes" to adult students who went on to successful careers, one providing feedback "Your adult ed classes enabled me to meet university entrance requirements and, ... I am now an Engineer, thank you!". She had a reputation for teaching the math class that “you want to be in.” For more...

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