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

NCERT Solutions for Class 11 Maths Chapter 7 are easily accessible to you whenever you have any doubt in the chapter. The concept of permutations and combinations is an integral part of the day to day life. Chapter 7 helps you in understanding that through various topics like the characteristics of numbers, their differentiating features, and how their arrangements in different places change values.

There are 5 exercises in the chapter with a total of 53 questions. By practising these questions you will be able to understand concepts like fundamental principles of counting, permutations of distinct objects and permutations of similar objects. The chapter also includes miscellaneous examples and one miscellaneous exercise that give you ample questions to practice and strengthen your concepts.

Our NCERT solutions are created by the best maths experts of India who are working with us day and night to provide you with correct solutions to all your queries. Given below is a short summary of the chapter that will help you revise the concepts quickly followed by an exercise-wise discussion of NCERT solutions for class 11 Maths Chapter 7 for you.

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

Chapter 7 of Class 11 Maths is divided into 8 sections and sub-sections. It will brighten your intellect and sharpen your calculation skills. The main topics of the chapter include fundamental principles of counting, permutations, permutations when all objects are distinct, factorial notation, derivation of the formula, permutations when all objects are not Distinct and combinations.

In section 7.1 of CBSE Class 11 Maths NCERT Solutions for Class 11 Chapter 7, you will get to know more about the numbers, integers, their functions and features. It is fun learning about the numbers, and you will surely enjoy this section.

Section 7.2 of the chapter deals with the concept of counting numbers – both as the means and an end in obtaining the results. It provides basic fundamentals behind the function of counting. It also emphasizes the place value of digits and how their values get changed with a change in their placement.

Section 7.3 introduces you to the concept of Permutations. It defines Permutation as an act of arranging the numbers into a sequence or order or rearranging already set numbers. It will teach you several possible ways out of which this can be done.

The next sub-section (7.3.1) goes a step ahead and teaches you how to deal when the objects are distinct. The number of permutations will be more when the objects to be arranged are diverse. The section is full of real-life examples for easy comprehension.

In 7.3.2 you learn about what is factorial notation and how and when to use that. You will understand that an exclamation mark directly following a digit is factorial notation. Section 7.3.3 will teach you about the derivation of the formula of permutation. Permutations, when all the objects are not distinct, is addressed in the sub-section 7.3.4.

The final sub-section of the chapter is devoted to Combinations. You will also understand the difference between permutations and combinations here. Combinations can be defined as the selection of all or parts of the subject without consideration to the order in which they are selected.

### Exercise-wise Discussion of NCERT Solutions for Class 11 Maths Chapter 7

- The chapter includes 4 exercises with questions on various concepts explained in the chapter.
- A total of 31 questions given in the exercises will ensure you get a thorough understanding of the topics discussed.
- The first exercise has 6 questions which deal in forming a pattern of numbers or alphabets under given conditions of inclusivity and exclusivity.
- The second exercise is devoted to questions on factorial notation which provide good practice.

### Benefits of NCERT Solutions for Class 11 Maths Chapter 7 by Instasolv

Though the concept of Permutations and Combinations seems to be easy to understand, this topic requires ample practice. You must have a solid grip on all the concepts of the chapter and this is where our NCERT Solutions for Class 11 Maths Chapter 7 will help you. With Algebra contributing to almost 40% of marks in the CBSE maths exam, it pays to have a firm understanding of permutations and combinations. Our solutions will also help you in clarifying your doubts and will make you exam-ready. No need to rush between school and tuition classes anymore.