Permutations and Combinations Class 11 CBSE Maths Chapter 7

Permutations and Combinations Class 11 CBSE Maths Chapter 7
Class 11 CBSE Maths Syllabus
Chapter 1:Sets
Chapter 2: Relations and Functions
Chapter 3: Trigonometric Functions
Chapter 4: Principles of Mathematical Induction
Chapter 5: Complex Numbers and Quadratic Equations
Chapter 6: Linear Inequalities
Chapter 7: Permutations and Combinations
Chapter 8: Binomial Theorem
Chapter 9: Sequences and Series
Chapter 10: Straight lines
Chapter 11: Conic Sections
Chapter 12: Introduction to 3D
Chapter 13: Limits and Derivatives
Chapter 14: Mathematical Reasoning
Chapter 15: Stastics
Chapter 16: Probability
Introduction
  • If there are two tasks such that one of them can be completed in m ways, and when it has been completed in one of these m ways, the other task can be completed in n ways, then the two tasks can be completed in m×n ways.
  • If two tasks are such that they can be performed independently in m and n ways, then either of them can be performed in m + n ways.
  • If n is a natural number and r is a positive integer such that 0≤r≤n, then nPr=n!(n−r)!
  • If n is a real number and r is a positive integer such that 0≤r≤n, then nCr=n!(n−r)!r!.
Exercises
Exercise 7.1



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