Chapters  /  Permutation and Combination

Class 11

Permutation and Combination

JEE Main previous-year questions from 2002 to 2025, arranged topic by topic — from the counting principles through to derangements and Beggar’s method.

What is inside

Counting and arrangement

  • Factorials, ⁿCᵣ and ⁿPᵣ
  • Fundamental counting principles
  • Number formation
  • Word formation, and words with alike letters
  • Rank of a word or number (lexicographic order)

Selection

  • Committee formation and team selection
  • Formation of groups
  • Total number of selections

Standard methods

  • Gap and string method
  • Circular permutation
  • Beggar’s method and integral solutions
  • Derangements

Applications

  • Divisibility problems
  • Geometry: points, lines and polygons
  • Sum of the numbers formed
  • Power of 2, 3 and 5 in a factorial

Assignments

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