Permutations, Combinations, and Probability for Aptitude Tests

Permutations, combinations, and probability are often the most challenging topics in quantitative reasoning, demanding precise logic and formula application. This course provides a foundational, step-by-step approach to mastering the rules of counting, arrangement, and chance. By focusing on conceptual clarity and rigorous practice, you will learn to dissect complex problems and apply the correct mathematical tools with confidence, ensuring accuracy under pressure. ### What you'll learn * Understand the Fundamental Principle of Counting (Addition and Multiplication rules) to quickly calculate possible outcomes. * Master the formulas and logical differences between permutations (arrangements) and combinations (selections). * Apply techniques for handling special cases, including arrangements with repetition and circular permutations. * Learn the core concepts of probability, including sample space, events, and calculating basic likelihoods. * Practice solving complex probability scenarios involving conditional probability and independent events. ### Course Content Overview The course begins by establishing foundational terminology and mathematical notation. We then move methodically through counting principles, advanced PnC scenarios, and finally, into the laws and applications of probability theory, supported by numerous written examples. ### Who is this course for? This course is designed for absolute beginners and individuals preparing for standardized tests or any assessment requiring rigorous quantitative aptitude. No prior mathematical knowledge beyond basic arithmetic is required. Start building your rigorous quantitative reasoning skills today.