Maths Volume-4 (Permutation and Combination)



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Contents

Synopsis of Permutation and Combination - I


Description: Covers basic concepts of permutations and combinations, explaining counting methods and introductory formulae with examples.


Synopsis of Permutation and Combination - II


Description: Expands on arrangement techniques, including identical items and circular permutations for deeper combinatorial understanding.


Synopsis of Permutation and Combination - III


Description: Introduces combinations with repetition, emphasizing differences from permutations and solving related problems effectively.


Synopsis of Permutation and Combination - IV


Description: Focuses on advanced techniques, mixed problems, and logical reasoning using permutations and combinations together.


Fundamental Principle of Counting


Description: Explains fundamental counting rule: multiply options for sequential events to find total outcomes.


Fundamental Principle of Counting & Application of nPr - I


Description: Combines counting rule with permutation formula to solve arrangements where order of items matters.


Application of nPr - II & Application of nCr - I


Description: Covers advanced permutation problems and begins with combination applications where order does not matter.


Application of nCr - II


Description: Continues combination concepts, focusing on solving real-life selection problems using formula.


Restricted Arrangements - I


Description: Teaches arrangement problems with specific restrictions like fixed positions or adjacent placements.


Restricted Arrangements - II & Geometrical Application of nCr


Description: Blends restricted arrangements and geometric problems involving combinations of points, lines, and triangles.


Problems on Arrangements and Selection - I


Description: Solves mixed problems involving both arrangement and selection concepts in practical scenarios.


Problems on Arrangements and Selection - II


Description: Continues with medium-level arrangement and selection problems, enhancing problem-solving accuracy and speed.


Problems on Arrangements and Selection - III


Description: Focuses on complex arrangement and selection problems with higher-order thinking and application of all concepts.


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