Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The **NCERT Solutions for Class 11** provide useful solutions for improving conceptual knowledge.

The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.

The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.

**NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations**

**NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations**

Following are the concepts that are explained in Chapter 7- Permutations and Combinations of **NCERT Solutions for Class 11: **

7.1 Introduction

7.2 Fundamental Principle of Counting

7.3 Permutations

7.3.1 Permutations when all the objects are distinct

7.3.2 Factorial notation

7.3.3 Derivation of the formula for nPr

7.3.4 Permutations when all the objects are not distinct objects

7.4 Combinations

- Exercise 7.1 Solutions 6 Questions
- Exercise 7.2 Solutions 5 Questions
- Exercise 7.3 Solutions 11 Questions
- Exercise 7.4 Solutions 9 Questions
- Miscellaneous Exercise On Chapter 7 Solutions 11 Questions

**NCERT Solutions for Class 11 Maths Chapter 7- Permutations and Combinations**

The chapter Permutations and Combinations is part of the Algebra subject, which accounts for 30 of the total 80 points. This chapter includes four problems as well as a miscellaneous activity to assist students to grasp the concepts of permutations and combinations. The following are some of the topics covered in Chapter 7 of NCERT Solutions for Class 11 Maths:

- The counting idea at its core If an event can happen in m different ways, then another event can happen in n different ways, the total number of times the events can happen in the given order is m n.
- nPr stands for the number of permutations of n different items taken r at a time, where repetition is not permitted.
- n! = 1 × 2 × 3 × …×n
- n! = n × (n – 1) !
- The number of permutations of n different things, taken r at a time, where repetition is allowed, is nr.

As a result, we can conclude that studying Class 11 Permutations and Combinations enables students to comprehend the Fundamental Principle of Counting, Factorial (n! ), Permutations and Combinations, Formulae for nPr and nCr and their connections, and simple applications of permutations and combinations.

**Frequently Asked Questions on NCERT Solutions for Class 11 Maths Chapter 7 **

- What are the crucial topics covered in the NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations?
- Discuss the fundamental concepts of Permutations and Combinations in the NCERT Solutions for Class 11 Maths Chapter 7?
- Can I get the NCERT Solutions for Class 11 Maths Chapter 7 in PDF format?

**1. What are the crucial topics covered in the NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations? **

The important topics that are explained in the **NCERT Solutions for Class 11** Maths Chapter 7 Permutations and Combinations are listed below–

- Introduction
- Fundamental Principle of Counting
- Permutations
- Combinations

**2. Discuss the fundamental concepts of Permutations and Combinations in the NCERT Solutions for Class 11 Maths Chapter 7?**

The combination is a precise arrangement of multiple elements, whereas permutation is the various ways in which a number or set of objects can be organized. The first is the fundamental theorem of counting, which is based on some of the fundamental notions. For instance, if one event occurs in ‘n’ different ways while another occurs in ‘m’ different ways, the net occurrences can be expressed in the order n x m.

The second states that the number of permutations ‘n’ separate items at ‘r’ time can be expressed as nPr when no repetition occurs, and nr when repetition occurs.

**3. Can I get the NCERT Solutions for Class 11 Maths Chapter 7 in PDF format? **

Yes, students can access the NCERT Solutions for Class 11 Maths Chapter 7 in ‘Infinity Learn’ in PDF format. The solutions for the exercise-by-exercise difficulties are created by highly experienced faculty using the most up-to-date CBSE Syllabus for each term. Students can also compare their answers to the solutions PDF to acquire a better understanding of the alternative approaches for tackling complicated issues quickly.