Permutations And Combinations — Revision Notes
MHT-CET · Mathematics
Quick revision notes for Permutations And Combinations — key concepts, formulas, and definitions for MHT-CET Mathematics preparation.
Revision Notes — Permutations And Combinations
Key concepts, formulas, and definitions from Permutations And Combinations for MHT-CET Mathematics preparation.
Key Topics to Revise
Fundamental Principle of Counting
- Two basic principles: Multiplication Principle and Addition Principle
- Multiplication Principle: If first operation can be done in m ways and second in n ways, both together can be done in m × n ways
- Addition Principle: If one operation can be done in m ways OR another in n ways, either can be done in (m + n) ways
Factorial Notation and Basic Formulas
- n! = 1 × 2 × 3 × ... × (n-1) × n
- 0! = 1 by definition
- n! is undefined for negative numbers and fractions
Permutations
- Permutation is arrangement of objects in definite order
- Order matters in permutations
- ⁿPᵣ represents permutations of n objects taken r at a time
Combinations
- Combination is selection of objects where order doesn't matter
- ⁿCᵣ represents combinations of n objects taken r at a time
- Also written as C(n,r) or (n choose r)
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Key Concepts
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What topics are covered in Permutations And Combinations for MHT-CET?
Permutations And Combinations is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Fundamental Principle of Counting, Factorial Notation and Basic Formulas, Permutations, Combinations.
How important is Permutations And Combinations for MHT-CET?
Permutations And Combinations is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 63 practice questions available for this chapter.
How to prepare Permutations And Combinations for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.