Chapters / Permutation and Combination
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
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