## The ^{n}C_{r} function

The function ^{n}C_{r} is used in the binomial expansion and in the binomial distribution.

In this tutorial you are shown how to work it out manually and on a calculator. The example uses a Casio fx-series calculator.

## Binomial Expansion using the ^{n}C_{r} method

In this video tutorial you are introduced to the binomial expansion as a method which reduces the amount of working in expanding a bracket to a given positive power.

Binomial Expansion for a positive integer n:

## Finding particular terms using the ^{n}C_{r} method

In this tutorial you are shown how to find a particular term or coefficient of a term in a binomial expansion without having to resort to the full expansion.

The following examples are used

Examples in the video

## Binomial Expansion using Pascal’s Triangle

Pascal’s triangle is a pattern of numbers which can be used to work out values of the binomial coefficients ^{n}C_{r} as the following tutorial explains.