JEEA-05 — JEE Advanced Math — Permutations and Combinations

JEE Advanced Math — Permutations and Combinations

Permutations and combinations for JEE Advanced aspirants — advanced counting.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Apply inclusion-exclusion to count arrangements with multiple constraints [Apply]
  2. Analyze derangement formulas and apply them to fixed-point-free permutation problems [Analyze]
  3. Construct and use generating functions to solve distribution and partition problems [Create]
  4. Evaluate lattice-path counts using bijective and reflection arguments [Evaluate]
  5. Distribute identical and distinct objects into identical and distinct groups using multinomial reasoning [Analyze]
  6. Solve JEE Advanced multi-step and paragraph counting problems with rigorous case-analysis [Evaluate]

📚 Chapters

  1. Fundamental Principle of Counting
  2. Permutations with Restrictions
  3. Circular and Non-Circular Permutations
  4. Combinations with Repetition
  5. Distribution into Identical and Distinct Groups
  6. Inclusion-Exclusion Principle
  7. Derangements
  8. Multinomial Theorem
  9. Lattice Path Problems
  10. Generating Functions — Introduction

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