NCERT Solutions for Class 11 Maths Chapter 6 Exercise 6.2 Permutations and Combinations - PDF Download

NCERT solutions for class 11 maths chapter 6 exercise 6.2 Permutation and Combination consists of questions that are totally based on permutation and factorial notation. This is an easy exercise that is intended to provide students with a thorough comprehension of the formula used to calculate permutations. It also helps you to enhance your math skills. Class 11 maths chapter 6 exercise 6.2 NCERT solutions consists of important questions, examples and illustrations that explain the topics effectively.

Ex 6.2 class 11 maths solutions have 5 questions that are mainly related to factorials and arithmetic operations of numbers. NCERT solutions for ex 6.2 class 11 maths chapter 6 is carefully developed by eSaral’s academic team of mathematics to help students in preparing for examinations. With the practice of the questions provided in NCERT solutions, you will be able to clarify all your doubts related to factorials and permutations. Ex 6.2 class 11 maths ch 6 NCERT solutions are also made available in PDF format which can be downloaded for free on eSaral website. The link for downloading the PDF is provided below.

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Topics Covered in Exercise 6.2 Class 11 Mathematics Questions 

Ex 6.2 class 11 maths chapter 6 Permutations and Combinations is based on the topics such as permutations and factorial notation which holds an important place in solving questions of ex 6.2 chapter 6. You can check the detailed explanation provided below.

1. Permutations

A permutation is an arrangement in a definite order of a number of objects taken some or all at a time. In other words, counting a permutation is just counting how many times you can rearrange some or all of the objects at once.

The appropriate expression to represent a permutation is ⁿP_r.

The formula for permutation is given by:  ⁿP_r = $\frac{n !}{(n-r) !}$ , where 0 ≤ r ≤ n  

The symbol n! read as factorial n or n factorial. This implies that the product of all integers is less than or equal to n, but it should be greater than or equal to 1.

• Permutations when all the objects are distinct

There is a theorem involved in finding the permutations when all the objects are distinct. 

Theorem 1: The number of permutations of n different objects taken r at a time, where 0 < r ≤ n and the objects do not repeat is n ( n – 1) ( n – 2). . .( n – r + 1), which is denoted by ⁿP_r.

     2. Factorial notation

The notation n! represents the product of first n natural numbers, i.e. The product 1 × 2 × 3 × . . . × (n – 1) × n is denoted as n!. We read this symbol as ‘n factorial’. Thus, 1 × 2 × 3 × 4 . . . × (n – 1) × n = n ! 

Tips for Solving Exercise 6.2 Class 11 Chapter 6 Permutations and Combinations

NCERT solutions for class 11 maths chapter 6 ex 6.2 is prepared by eSaral’s math experts in a straightforward and easy-to-understand format with helpful tips. 

1. NCERT solutions for class 11 maths chapter 6 ex 6.2 will help students to understand different permutation formulas and its properties easily.
2. It is recommended that students thoroughly examine all the concepts presented in NCERT solutions.
3. Students should solve the examples provided in the class 11 maths chapter 6 exercise 6.2 NCERT solutions that will help you understand each concept step by step.
   

Importance of Solving Ex 6.2 Class 11 Maths Chapter 6 Permutations and Combinations

Ex 6.2 class 11 maths chapter 6 has questions associated with permutations. By solving these questions, you will get numerous benefits. Here, we are providing some of the benefits.

1. All the terms, formulas, techniques, and examples included in these solutions prove to be highly effective in solving even complex questions of ex 6.2.
2. NCERT solutions provided by eSaral have all the answers of ex 6.2 questions in accurate and precise form which you can trust without any doubt.
3. By solving questions again and again in ex 6.2 class 11 maths chapter 6 will improve your accuracy and problem solving skills which will make you solve questions easily asked in examination. 
4. NCERT solutions provide questions of ex 6.2 as well as their answers to help you prepare well for your exams and tests. 
   

Frequently Asked Questions

Question 1. Define permutation?

Answer 1. A permutation is an arrangement in a definite order of a number of objects taken some or all at a time. The symbol to denote a permutation is nPr .

Question 2. Write the formula for permutation?

Answer 2. The formula for permutation is nPr = $\frac{n !}{(n-r) !}$ , where 0 ≤ r ≤ n.