Perms & Combs: Pascal's Triangle & Pathways 530

This lesson is part of the series: Permutations & Combinations

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)

All lessons have been prepared by a certified teacher, B.A., B. Ed. (Math Major) with 30+ years experience teaching Math to High School Students and Continuing Education learners. She has a reputation for teaching the math class that “you want to be in.” For more information please visit Math Made Simple: http://www.mathmadesimple.com/

Through her teaching and tutoring experiences, the growth of technology and the internet she recognized a need to make comprehensive math lessons available via the Internet to help:

- High school students who have missed a class or maybe just need a little extra help or are in sports or other extra curricula activities
- Teachers looking for a way...

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