# NCERT Solutions Class 11 Maths Chapter 7 Permutations and Combinations

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations explains the most fundamental math concepts based on Permutations and Combinations, along with their applications. A permutation is a count of different arrangements that can be made from the given set of objects, and the combination is a specific arrangement of distinct elements. Basic applications of permutation involve arranging numbers, alphabets, colours, and digits. Apart from maths, permutations and combinations are also applied in the fields of computer science, physics, and biology. These concepts are often used to define and analyze sorting algorithms, describing particle states and RNA sequences. Thus, having a deep knowledge of Permutations and Combinations is crucial for studying maths and other subjects. With the help of NCERT Solutions Class 11 Maths Chapter 7, students will get well-versed with this topic and its applications in real-world situations.

Learning about the basics terms and concepts of Permutations and Combinations is vital for each student as it will help them build their core fundamentals. With the regular practice of Class 11 Maths NCERT Solutions Chapter 7, kids will easily attain this knowledge to work on Permutations and Combinations problems. The sample questions and exercises provided in these solutions offer a step-by-step understanding of each topic. To learn and practice with NCERT Solutions Chapter 7 Permutations and Combinations, download the exercises provided in the links below.

- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.1
- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.2
- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.3
- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.4
- NCERT Solutions Class 11 Maths Chapter 7 Miscellaneous Exercise

## NCERT Solutions for Class 11 Maths Chapter 7 PDF

The topic of Permutations and Combinations may seem a little confusing to students when it comes to solving complex problems. Therefore, it is necessary to establish a clear and accurate knowledge of concepts provided in this topic. NCERT Solutions for Class 11 Maths Chapter 7 are well-framed after extensive research to encourage in-depth learning of this topic. These resources are carefully formulated to support and enhance mathematical reasoning in kids. To practice with these solutions, click on the links of the pdf files given below.

**ā** Download Class 11 Maths NCERT Solutions Chapter 7 Permutations and Combinations

**NCERT Class 11 Maths Chapter 7 **

### NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations

NCERT solutions Class 11 Maths Chapter 7 Permutations and Combinations are a reliable learning resource for strengthening students’ reasoning skills. Highly experienced subject experts write these comprehensive guides to offer efficient math learning. With the help of gradually placed examples and sample questions, it becomes convenient to perform strategic learning of each and every concept. To practice the exercise-wise NCERT Solutions Class 11 Maths Permutations and Combinations, try the links given below.

- Class 11 Maths Chapter 7 Ex 7.1 - 6 Questions
- Class 11 Maths Chapter 7 Ex 7.2 - 5 Questions
- Class 11 Maths Chapter 7 Ex 7.3 - 22 Questions
- Class 11 Maths Chapter 7 Ex 7.4 - 9 Questions
- Class 11 Maths Chapter 7 Miscellaneous Ex - 11 Questions

ā Download Class 11 Maths Chapter 7 NCERT Book

**Topics Covered:** NCERT solutions Class 11 Maths Chapter 7 briefly introduces Permutations and Combinations, their representation, and applications. The important topics covered in these solutions are fundamental principles of counting permutations, permutations, permutation when all objects are distinct, factorial notation, derivation of the formula for ^{n}P_{r }, permutations when all the items are not separate objects, and combinations.

**Total Questions:** Class 11 Maths Chapter 7 Permutations and Combinations has 42 questions in 4 exercises plus 11 questions in one miscellaneous exercise. These questions are primarily based on the fundamental theorems along with the formulas of Permutations and Combinations.

## List of Formulas in NCERT Solutions Class 11 Maths Chapter 7

Having a clear understanding of all the formulas, terms, and theorems related to the topic of Permutations and Combinations is vital for exam preparation. This entire topic is based on formulas as well as a child’s ability to comprehend a question. Kids tend to get easily confused about whether to apply a permutation or a combination to a given sum thus, understanding the crux of the problem is essential to solving it correctly. The list of important formulas, terms, and theorems provided in the NCERT Solutions Class 11 Maths Chapter 7 will help students to gain deep knowledge of all these. Some of them explained in these solutions are listed below:

**Formula of Permutations:**The permutations of ‘r’ things taken from ‘n’ things are equal to the factorial of n divided by the factorial of the difference of n and r. The formula of permutations is given by^{ n}P_{r}= n!/(n−r)!

**Formula of Combinations:**The combination of 'r' things from the available 'n' things would be factorial of n, divided by the product of the factorial of r and factorial of (n - r). The combination is represented by the formula^{n}C_{r}= n! / [r! * (n−r)!]

## FAQs on NCERT Solutions Class 11 Maths Chapter 7

### What is the Importance of NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations?

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations are written as per the CBSE guidelines to promote efficient learning of each and every concept. The questions provided in these solutions are competent to deliver an in-depth understanding of Permutations and Combinations and their practical applications. The examples included in these solutions are apt to promote math proficiency in students. With thorough practice, students will also gain the right approach for scoring well in exams.

### What are the Important Topics Covered in Class 11 Maths NCERT Solutions Chapter 7?

The important topics covered in the NCERT Solutions Class 11 Maths Chapter 7 are the introduction to fundamental principles of counting permutations, definition, and formula of permutations, derivation of the formula for ^{n}P_{r}, permutations of similar and non-similar objects. Apart from these combinations is another important topic included in these solutions. Systematic preparation of all these topics will enable students to understand permutations and combinations clearly along with their applications.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 11 Maths Permutations and Combinations?

Every question included in NCERT Solutions Class 11 Maths Permutations and Combinations is well-framed to facilitate the formation of crystal clear concepts. By practicing all questions available in these solutions, students can easily master the fundamentals of Permutations and Combinations along with their applications to daily life problems. These solutions help in getting well-versed with the formulas to calculate sums based on the same.

### How Many Questions are there in Class 11 Maths NCERT Solutions Chapter 7 Permutations and Combinations?

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations has 53 questions in 5 exercises. These exercises succinctly provide a clear understanding of the topic, including important terms, formulas, and concepts based on Permutations and Combinations. The easy-to-understand format of these solutions is proficient for acquiring a step-by-step understanding of the process of Permutations and Combinations.

### What are the Important Formulas in NCERT Solutions Class 11 Maths Chapter 7?

NCERT Solutions Class 11 Maths Chapter 7 explains the concept of Permutations and Combinations. The two vital formulas in this chapter are needed to find the permutations and combinations of objects. The remaining sections are just derivations of these two topics. These concepts are stated in detail with the help of examples and illustrations. This chapter focuses more on applying formulas, thus requiring students to memorizing them effectively.

### Why Should I Practice NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations?

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations is a competent learning resource that offers complete guidance and practice of core concepts for higher-level studies. These solutions cover the whole syllabus of CBSE Class 11 Maths Chapter 7 to provide comprehensive learning of all topics. The format of these solutions is simple and easy for students to grasp all complex concepts. Regular practice of these resources will ensure the best results in exams.