 # NCERT Solutions for Class 11 Maths Chapter 7 Free PDF Download

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

NCERT Solutions for Class 11 Maths Chapter 7 will increase the level of understanding about this chapter based on arrangement and selection. Using these NCERT Solutions students can easily score maximum marks in the exam as it covers all the exercise given in the book and follows the updated guidelines of CBSE.

Mathematics is a logical part of science. It deals with numbers and quantities of the objects. From class 11 the maths get really hard for students that it starts to bounce off from students head. This happens because of all of a sudden change of syllabus and study pattern. That’s why we created an NCERT Solution’s PDF that contains all the answer to the questions of the chapter. Moreover, these solutions are available without charges. These NCERT Solutions for Class 11 Maths for Chapter 7 helps students in a lot of way especially for grasping the content of the topic.

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations is a very interesting and important topic for the students of 11th class. This app will clear their doubts and guide them for solving problems related to arrangement and selection. These NCERT Solutions will help students to frame a better understanding of all the solutions easily and effectively.

Besides this, our goal at Toppr is to provide simple and understandable solutions that make your learning fun. So, the students can get a hold of the concept, theorem, and formulas of the chapter. Apart from that, these solutions make learning a fun and interactive experience for students of classes 5 to 12.

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

In this chapter, students will learn about Permutations and Combinations in detail. NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations is all about the methods the counting, arrangement, and selection of elements in some collections. Our solutions are in an easy and self-explanatory way. NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations will also help students to understand the basics and able to solve problems of arrangements. ### Sub-topics covered under NCERT Solutions for Class 11 Maths Chapter 7

• 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

### NCERT Solutions for Class 11 Maths Chapter 7

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations will guide students to understand this interesting topic. This chapter of Class 11 maths will enable the students to understand the concept of counting and related terms. The student will study the Fundamental principle of counting, Factorial (n!). Permutations and combinations. Also, they will learn the derivation of Formulae for nPr and nCr.

Let us discuss the sub-topics in detail.

7.1 Introduction

The student will learn some basic counting techniques which will enable us to answer.  The student will examine a principle which is most fundamental to the learning of these techniques.

7.2 Fundamental Principle of Counting

This is a very basic principle. It states that, if an event can occur in p different ways, following which another event can occur in q different ways, then the total number of occurrence of the events in the given order is p × q.

7.3 Permutations

The student will learn the methods for some given objects to arrange in various possible orders and arrangements. It is an arrangement in a definite order of a number of objects taken some or all at a time.

7.3.1 Permutations when all the objects are distinct

The number of permutations of n different things when r is taken at a time without repetition then it is denoted by nPr.

7.3.2 Factorial notation

This notation is very much important here. The n! represents the product of first n natural numbers, means the product of 1 × 2 × 3 × . . . × (n – 1) × n is denoted as n!.

7.3.3 Derivation of the formula for nPr

A permutation is counting the number of ways in which some or all objects at a time are arranged. The student will learn the derivation and application of the popular formula for nPr.

7.3.4 Permutations when all the objects are not distinct objects

Sometimes permutation may involve some similar objects. The student will learn in this topic to find permutations of such cases. Many real-life examples will clear the concepts of students.

7.4 Combinations

It is another interesting topic. It is based on a selection of objects and making a group without considering their mutual ordering. Here, each selection is called a combination. In a combination of objects, the order is not important. ### Download Toppr – Best Learning App for Class 5 to 12

We provide free pdf downloads, free online classes, free video lectures, and free doubt clearing sessions. Our Maths teachers are highly capable and experienced. We are just a click away. Download Toppr App now. You can access our website Toppr.com.

Share with friends

## Customize your course in 30 seconds

##### Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th
Get ready for all-new Live Classes!
Now learn Live with India's best teachers. Join courses with the best schedule and enjoy fun and interactive classes.  Ashhar Firdausi
IIT Roorkee
Biology  Dr. Nazma Shaik
VTU
Chemistry  Gaurav Tiwari
APJAKTU
Physics
Get Started 0 Followers

Most reacted comment
1 Comment authors Recent comment authors
Subscribe
Notify of Guest

Iam student pls help me

## Question Mark?

Have a doubt at 3 am? Our experts are available 24x7. Connect with a tutor instantly and get your concepts cleared in less than 3 steps.