Diagnostic Quiz on Permutations and Combinations
Subtopics of Permutations and Combinations
ME-A1 Working with Combinatorics
The topic Combinatorics involves counting and ordering as well as exploring arrangements, patterns, symmetry and other methods to generalise and predict outcomes. The consideration of the expansion of \((x+y)^n\) where \(n\) is a positive integer, draws together aspects of number theory and probability theory.
A knowledge of combinatorics is useful when considering situations and solving problems involving counting, sorting and arranging. Efficient counting methods have many applications and are used in the study of probability.
The study of combinatorics is important in developing students’ ability to generalise situations, to explore patterns and to ensure the consideration of all outcomes in situations such as the placement of people or objects, setting-up of surveys, jury or committee selection and design.