Pascal's Triangle and Pathways

Lesson:	530 - 1 Hour 26 Minutes
Summary:	This lesson is an investigation of Pascal’s Triangle & how it is used to find the coefficients in the expansion of a binomial. Coefficients are also found using combinations. The relationship is also shown between Pascal’s Triangle and Pathways. After this lesson, you will be able 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. - answer questions finding the number of pathways from A to B.
Question:

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You will have the best learning experience with Lesson 530 when you are familiar with the topics covered in the lessons listed below: Lesson 125 Multiplication of Polynomials Lesson 505 Factorial Notation & Linear Permutations Lesson 510 Linear Permutations with Restrictions Lesson 520 Combinations Part I

Lessons in the permutations and combinations category:

• 500 The Fundamental Counting Principle
• 505 Factorial Notation & Linear Permutations
• 510 Linear Permutations with Restrictions
• 515 Circular & Ring Permutations
• 520 Combinations Part I
• 525 Combinations Part II
• 530 Pascal's Triangle and Pathways
• 535 The Binomial theorem