NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations (Ex 7.1) Exercise 7.1
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The Indian government created the National Council of Educational Research and Training (NCERT), an autonomous organisation, to assist various learners and private schools in India in providing a topnotch education. This private company was established in 1961 and is in charge of providing instructional materials for Classes 1 through 12. The foundation of the educational system is the NCERT textbook. The NCERT Books are used in the Class 1 – 12 curriculum by the CBSE Board. Other state boards have begun using the NCERT books in their course curricula in addition to the CBSE. The finest study materials for students in Classes 1 to 12 are the CBSE NCERT Textbooks. These books were created by specialists after extensive study and analysis of a particular topic and after taking into account the intellectual capacity of the learners. NCERT textbooks are written in simple language and cover the fundamentals of every subject.
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The Extramarks internal subjectmatterexperts, carefully and in accordance with all CBSE regulations, solved the problems and questions from the exercise. Students in Class 11 who are thoroughly familiar with all the ideas in the mathematics textbook and sufficiently knowledgeable about all the activities provided can easily earn the best possible points on the final test.
There are various exercises in this chapter that contain numerous questions in addition to these. The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 are credible material to refer to.
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H2 – NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations (Ex 7.1) Exercise 7.1
When it comes to exam preparation, using the NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 is said to be the bestchoice for CBSE students. There are several exercises in this chapter. On this page, in PDF format, The Extramarks offer the NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1. One may study the NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1, straight from the website or mobile application, or students can download it as needed.
The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 are crucial to comprehend all the ideas in the textbooks and work through the exercises. These are provided to receive the highest grades possible in the class.
Do not wait any longer. To better prepare for the test, download the NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1 from the Extramarks website right now. If one already has the Extramarks application on their phone, learners may also download the NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1 there. The best feature of these solutions is that they can be used offline and online.
H3 – Access NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations
H2 – NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Exercise 7.1
The science that deals with numbers is typically referred to as Mathematics. It requires operations with numbers and aids in calculating the cost of the item, the amount of discounted rewards available, and the ability to compute quickly if one is skilled at arithmetic. To experiment with new things every day, Mathematicians and Scientists rely on the principles of Mathematics. Many students claim that mathematics is a worthless subject and that they “hate math,” yet this is false since they need math to thrive. Every field uses mathematics in some capacity.
Mathematics is an important subject. Students should pay extra attention. It is also thought to be a timeconsuming subject So learners can access the NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1 for the Class 11 Maths Chapter 7 Exercise 7.1. It will increase their efficiency and accuracy.
The NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1, are developed by skilled professionals and subjectmatter experts. It is extensively researched and appropriately organized to offer the topicbytopic and entire answer for each question in the NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1. It assists students in determining the lacunas between the course material and the paperframed assignments. This NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1, can help them to reinforce their fundamentals and be a crucial part of their overall study process, whether they are taking a board test or another competitive exam. Students may readily comprehend the types of questions that may be given on the examination from this Class 11 Maths Chapter 7 Exercise 7. Learners must maintain an understanding of the importance of grades. The NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1 are a very reliable source to rely upon so that they may adequately study for the final exam.
By choosing some items from a set and creating subsets, permutation and combination are two approaches to express a collection of things. It outlines the numerous configurations for a certain set of data. The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 deals with all the critical topics in simplify.
Permutations
Permutations are the selection of data or objects from a set.
Combinations
Combinations are a way of selecting items from a collection.
The formula of Permutations and Combinations are following
Permutations are: nPr = n!/(nr)!
Combinations are: nCr = n!/[r! (nr)!]
Importance of permutations and combinations in real life with examples.
Examples of permutations include arranging digits, persons, numbers, letters, alphabets and colours.
Examples of combinations include choosing the menu, the cuisine, the attire, the subjects, and the team
Both topics are essential to athematics. To understand critical concepts properly, students must use the NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1, during problemsolving. It can also be referred to as revising notes before the examination. The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1, are elaborated or well explained along with the stepwise method. Using this will enhance the performance in the course of practising exercises.
Candidates may use the NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1 as a revising tool as well as to boost their selfesteem and morale. The level of preparation for Class 11 Mathematics is quite high. So, the Extramarks provide NCERT Solutions like NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1.
The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 are available for download on the Extramarks website. The location for all additional NCERT Solutions is Extramarks official website or mobile application. The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 is also accessible on the android mobile application.
The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1, are wellmade with relevant examples. As a result, it boosts student confidence and enables them to do well on their final test. Offering enough instances for practise, aids in developing the conceptual clarity of the Permutation And Combination Exercise 7.1. It is advised that students practise every question and example. The NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1, will make their preparation simple, effective, and speedy.
Q.1 How many 3digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that
(i) repetition of the digits is allowed?
(ii) repetition of the digits is not allowed?
Ans.
The given three digits are 1, 2, 3, 4 and 5.
Number of digits in number to be formed = 3
(i) If repetition of digits is allowed.
Number of ways to fill one’s digit place = 5
Number of ways to fill ten’s digit place = 5
No. of ways to fill hundred’s digit place = 5
So, total formed 3digit numbers = 5 × 5 × 5
= 125.
Thus, total 3digit numbers are 125.
(ii) If repetition of digits is not allowed.
Number of ways to fill one’s digit place = 5
Number of ways to fill ten’s digit place = 4
No. of ways to fill hundred’s digit place = 3
So, total formed 3digit numbers = 5 × 4 × 3
= 60
Thus, total 3digit numbers are 60.
Q.2 How many 3digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
Ans.
The given three digits are 1, 2, 3, 4, 5 and 6.
Number of digits in number to be formed = 3
If repetition of digits is allowed.
Number of ways to fill one’s digit place = 3
Number of ways to fill ten’s digit place = 6
No. of ways to fill hundred’s digit place = 6
So, total formed 3digit numbers = 6 x 6 x 3 = 108.
Thus, total 3digit even numbers are 108.
Q.3 How many 4letter codes can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
Ans.
Number of letters of the English alphabet taken = 10
Number of letter used in making letter codes = 4
Since, no letter can be repeated in these codes.
I  II  III  IV 
So, number of ways to fill first place = 10
Number of ways to fill second place = 9
Number of ways to fill third place = 8
Number of ways to fill fourth place = 7
Total number of 4letter codes = 10 x 9 x 8 x 7
= 5040.
Thus, total 4letter codes are 5040.
Q.4 How many 5digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
Ans.
Total given digits from 0 to 9 = 10
Number of digits in telephone number = 5
Since, each number starts with 67. So, number of
vacant places in telephone number = 3
6  7  III  IV  V 
Number of ways to fill third place = 8
Number of ways to fill fourth place = 7
Number of ways to fill fifth place = 6
So, number of 5digit telephone numbers
= 8 x 7 x 6
= 336
Thus, total number of 5digit telephone numbers is 336.
Q.5 A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
Ans.
Number of possible outcomes in first toss of coin = 2
Number of possible outcomes in 2^{nd }toss of coin = 2
Number of possible outcomes in 3^{rd} toss of coin = 2
Total number of possible outcomes in 3 tosses of coin
= 2 × 2 × 2
= 8
Thus, total possible outcomes are 8.
Q.6 Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?
Ans.
Number of flags of different colours = 5
Flags required for a signal = 2
Number of ways to take first flag for a signal
= 5
Number of ways to take second flag for a signal
= 4
Number of different signals generated by 5 flags
= 5 × 4
= 20
Thus, total number of signals generated by using 5 flags is 20.
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FAQs (Frequently Asked Questions)
1. What are the essential topics covered in the Class 11 Mathematics Chapter 7 Permutations and Combinations?
The essential topics covered in the Class 11 Mathematics Chapter 7 Permutations and Combinations are the following
 Introduction
 Fundamental Principle of Counting
 Permutations
 Combinations
2. Can students get the NCERT Solutions For Class 11 Maths Chapter 7 Exercise 7.1 in downloadable PDF format?
The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 are available on the Extramarks official website or mobile application in PDF format. The highly qualified faculty creates the NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 for the exercisespecific difficulties based on the most recent CBSE Syllabus. Students can also compare their responses to the solutions PDF to have a comprehensive understanding of alternative approaches for quickly and successfully resolving challenging situations.
3. How many problems are there in the NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1?
The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 contains almost six questions. These solutions are solved systematically according to the exercises. The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 are liable tools for the examination preparation. Students are encouraged to keep it close by while preparing for exams. The NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1 can act as a quick and efficient review tool, which will cut down on the amount of time needed for preparation.