LCHL Fundamental Principle of Counting, arrangements and combinations

 The Fundamental Principle of Counting

- list outcomes of an experiment

− apply the fundamental principle of counting

Video: Khan Academy - Permutations

Presentation from Project Maths Site

Extra Folder of Files

The Basic Counting Principle - Mathsisfun

Combinations and Permutations - mathsisfun

 How to count the arrangements of n distinct objects (n!)

 How to count the arrangements of n distinct object taking r at a time

− count the arrangements of n distinct objects (n!)

Video: Deck of 52 Cards to be arranged

− count the number of ways of arranging r objects from n distinct objects

 How to count the number of ways of selecting r objects from n distinct objects (combinations of r objects from n distinct objects)

− count the number of ways of selecting r objects from n distinct objects

 How to compute binomial coefficients

Intro to the Binomial Theorem (video) | Khan Academy

Practice: Expand binomials

Binomial expansion & combinatorics

Pascal's triangle & combinatorics

Factoring quadratics as (x+a)(x+b) (example 2)