Permutations and Combinations for Competitive Exams and College Prep

Struggling to grasp the core concepts of permutations and combinations can make advanced algebra and probability feel impossible. This text-based course breaks down these critical counting principles into clear, digestible explanations designed to build your mathematical intuition from the ground up. You will transition from basic counting to solving complex exam-style problems with ease. What you will learn: Understand the fundamental counting principles of addition and multiplication; Master linear and circular permutations with various constraints; Apply combination formulas to selection and grouping problems; Solve division and distribution problems of identical and distinct objects; Practice applying the binomial theorem connections to combinations. We begin with foundational definitions and key terminology before moving step-by-step through core formulas, logical reasoning patterns, and structured practice exercises. This course is designed for high school students, college aspirants, and competitive exam candidates who want to build a rock-solid mathematical foundation with no prior advanced knowledge required. Start reading today to unlock a deeper understanding of algebraic counting.