Permutations and Combinations for Competitive Problem Solving

Permutations and Combinations are essential tools for higher mathematics and competitive exams, often proving to be the most challenging section for test-takers. By the end of this course, you will move beyond simple formulas to confidently analyze and structure solutions for complex counting scenarios involving arrangements and selections. What you'll learn: * Understand the foundational rules of counting, including the addition and multiplication principles. * Master the application of permutations for arranging distinct and non-distinct items, including circular arrangements. * Apply combinations to calculate selections and distributions, utilizing concepts like stars and bars where appropriate. * Practice advanced problem-solving techniques, including the Principle of Inclusion-Exclusion (PIE) for overlapping sets. * Develop systematic approaches to break down large, multi-step combinatorics problems into manageable components. The course begins with core definitions and terminology, building progressively through fundamental counting rules to complex problems involving constraints, repetition, and distribution. Practical examples and written exercises reinforce conceptual understanding at every stage. This course is suitable for beginners in combinatorics, high school students, or anyone preparing for mathematics sections of rigorous technical entrance examinations. No prior knowledge of advanced math is required, only basic algebra skills. Start reading today and transform your approach to competitive mathematics.