Permutations and Combinations Course-Exploring Choices
Welcome to this course on Permutations and Combinations. I am Suman Mathews, qualified and experienced teacher teaching mathematics for three decades to high school and college students.
Permutations and Combinations forms an integral part of higher Mathematics. It is used extensively in Probability, Binomial Theorem and Discrete Math. Also used in SAT and GRE Quant examinations. The tricky part here is that each problem is unique.
There is no one solution to all problems on Permutations and Combinations. This course will introduce you to the basics and gradually lead you forward. Make use of the solved examples and resources here.
The course unfolds with a basic knowledge of Permutations. You will learn cases when the objects are all different or not all different. Learn basic formulas in Permutations here.
Number of problems involving letters and digits are discussed here . Moving on, you'll learn about circular permutations and how to calculate them. You'll realise how the values change in a circular permutation where no two people have the same neighbours or different neighbours.
Again, practice the problems illustrated here to gain mastery of the topic. Next, you'll learn about Combinations and how to evaluate them. Realise that while a permutation is basically an arrangement, a combination is a selection.
Learn basic properties of Combinations and how to use these in problem solving. You'll come across problems which use both Permutations and Combinations and work on mixed problems. You'll realise how these are interconnected.
You have a session on Multiple choice questions where you realise that each problem requires a fair level of understanding. There are also formulas at the end for you.
Learn higher order problem solving techniques in Permutations. So, let's start learning.
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