NSW Y11 Maths - Extension 1 Permutations and Combinations Pascals Triangle

Pascals Triangle Videos How to buy Theory

Resources for Pascals Triangle

NSW Syllabus Reference: ME-A1.2: The binomial expansion and Pascal’s triangle. This will require student to

Access content straight away with a two week free trial

First Name.

Last Name

Email Address

State

I agree with your terms of service

Videos relating to Pascals Triangle.

Pascals Triangle - Video - Binomial Theorem Expansion, Pascal's Triangle, Finding Terms & Coefficients, Combinations

You must be logged in to access this resource

With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.

The rules for creating Pascal’s triangle:

The outer coefficients are unity
The inner coefficients come from the addition of the two adjacent numbers immediately above.
Each row has an extra number from the row above.

For example:

\[\begin{array}{*{20}{r}}{}&{}&{}&{}&1&{}&{}&{}&{}\\{}&{}&1&{}&2&{}&1&{}&{}\\{}&1&{}&3&{}&3&{}&1&{}\\1&{}&4&{}&6&{}&4&{}&1\end{array}\]

In the expanded form: \({\left( {1 + x} \right)^4} = 1 + 4x + 6{x^2} + 4{x^3} + {x^4}\)