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In Lecture 63 of this complete UTME Mathematics series, we treat one of the most important counting topics in the JAMB syllabus — Permutation and Combination. This lesson explains how to count arrangements and selections efficiently, which is essential for solving many UTME questions involving ordering, grouping, and selection. You will clearly learn the difference between permutation (arrangement where order matters) and combination (selection where order does not matter), and how to apply the correct formulas in different exam situations. The lecture breaks down factorial notation, step-by-step calculations, and common UTME question patterns, ensuring you understand both the concept and the exam application. Special focus is placed on: • Factorial notation and evaluation • Permutation formula and applications • Combination formula and applications • Identifying when to use permutation vs combination • Solving typical UTME past and likely questions • Avoiding common mistakes that cost marks This lesson builds directly on Lecture 62: Statistics and prepares you for the next critical topic, Lecture 64: Probability, where these counting principles are applied extensively. This UTME Mathematics series is structured into 100 well-organized lectures designed to cover the entire JAMB Mathematics syllabus in clear, manageable chunks, with the goal of helping students achieve excellent scores (90+) in UTME Mathematics. From foundational concepts to exam-standard problem solving, each lecture is tailored to strengthen your understanding and boost your confidence. By the end of this lecture, you will be able to: ✅ Understand and evaluate factorial expressions ✅ Solve permutation problems involving arrangements ✅ Solve combination problems involving selections ✅ Distinguish clearly between permutation and combination ✅ Confidently answer UTME questions on counting techniques Continue with the full series to gain complete mastery of UTME Mathematics and maximize your success in JAMB. #UTMEMathematics #JAMBMathematics #PermutationAndCombination #CountingTechniques #JAMBPreparation #UTMEPreparation #JAMBMathTutorial #MathematicsLessons #ExamSuccess #ProbabilityPreparation #UTMESeries