Permutation and Combination
Learning Time: 5-15 hours
Content: Permutation and combination is the subject that examines the ordering and grouping methods of elements in a set. The 2025 curriculum includes permutation (P(n, r)), combination (C(n, r)) formulas, repetitive situations, and practical applications. Basic calculations are covered in TYT, while advanced problems are covered in AYT.
- Basic Concepts:
- Permutation Definition (Ordered Arrangement)
- Combination Definition (Unordered Selection)
- Formulas (P(n, r) = n! / (nr)!, C(n, r) = n! / [r! (nr)!])
- Solution Techniques:
- Permutation and Combination without Repetition
- Repetitive Situations (Permutation and Combination)
- Distributed Sorting and Selection Problems
- Advanced Analysis (ADC):
- Restricted Permutation and Combination (Conditional Problems)
- Multivariable Scenarios
- Mathematical Proofs
- Applications:
- Password Generation (Permutation)
- Probability Calculations (Combination)
- Daily Life Examples (Arrangement and Selection)
- Affecting Factors:
- Number of Elements
- Repetition Condition
- Restrictions
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
