NCERT Class 11 Maths Permutations And Combinations

Read and download NCERT Class 11 Maths Permutations And Combinations in NCERT book for Class 11 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 11 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 11 Mathematics to understand the answers of the exercise questions given at the end of this chapter

NCERT Book for Class 11 Mathematics Chapter 7 Permutations and Combinations

Class 11 Mathematics students should refer to the following NCERT Book Chapter 7 Permutations and Combinations in Class 11. This NCERT Book for Class 11 Mathematics will be very useful for exams and help you to score good marks

Chapter 7 Permutations and Combinations NCERT Book Class 11

 

Every body of discovery is mathematical in form because there is no other guidance we can have – DARWINv
7.1 Introduction
Suppose you have a suitcase with a number lock. The number lock has 4 wheels each labelled with 10 digits from 0 to 9. The lock can be opened if 4 specific digits are arranged in a particular sequence with no repetition. Some how, you have forgotten this specific sequence of digits. You remember only the first digit which is 7. In order to open the lock, how many sequences of 3-digits you may have to check with? To answer this question, you may, immediately, start listing all possible arrangements of 9 remaining digits taken 3 at a time. But, this method will be tedious, because the number of possible sequences may be large. Here, in this Chapter, we shall learn some basic counting techniques which will enable us to answer this question without actually listing 3-digit arrangements. In fact, these techniques will be useful in determining the number of different ways of arranging and selecting objects without actually listing them. As a first step, we shall examine a principle which is most fundamental to the learning of these techniques.
vEvery body of discovery is mathematical in form because there is no other guidance we can have – DARWINv 7.1 Introduction Suppose you have a suitcase with a number lock. The number lock has 4 wheels each labelled with 10 digits from 0 to 9. The lock can be opened if 4 specific digits are arranged in a particular sequence with no repetition. Some how, you have forgotten this specific sequence of digits. You remember only the first digit which is 7. In order to open the lock, how many sequences of 3-digits you may have to check with? To answer this question, you may, immediately, start listing all possible arrangements of 9 remaining digits taken 3 at a time. But, this method will be tedious, because the number of possible sequences may be large. Here, in this Chapter, we shall learn some basic counting techniques which will enable us to answer this question without actually listing 3-digit arrangements. In fact, these techniques will be useful in determining the number of different ways of arranging and selecting objects without actually listing them. As a first step, we shall examine a principle which is most fundamental to the learning of these techniques. 7.2 Fundamental Principle of Counting Let us consider the following problem. Mohan has 3 pants and 2 shirts. How many different pairs of a pant and a shirt, can he dress up with? There are 3 ways in which a pant can be chosen, because there are 3 pants available. Similarly, a shirt can be chosen in 2 ways. For every choice of a pant, there are 2 choices of a shirt. Therefore, there are 3 × 2 = 6 pairs of a pant and a shirt.

7.2 Fundamental Principle of Counting
Let us consider the following problem. Mohan has 3 pants and 2 shirts. How many different pairs of a pant and a shirt, can he dress up with? There are 3 ways in which a pant can be chosen, because there are 3 pants available. Similarly, a shirt can be chosen in 2 ways. For every choice of a pant, there are 2 choices of a shirt. Therefore, there are 3 × 2 = 6 pairs of a pant and a shirt.

 

Please refer to attached file for NCERT Class 11 Maths Permutations And Combinations

z Appendix 1: Infinite Series
NCERT Class 11 Maths Infinite Series
z Appendix 2: Mathematical Modelling
NCERT Class 11 Maths Mathematical Modelling

NCERT Book Class 11 Mathematics Chapter 7 Permutations and Combinations

The above NCERT Books for Class 11 Mathematics Chapter 7 Permutations and Combinations have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 7 Permutations and Combinations Mathematics Class 11 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 7 Permutations and Combinations NCERT etextbooks as the exams for Class 11 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 11 Chapter 7 Permutations and Combinations book for Mathematics also includes collection of question. Along with Mathematics Class 11 NCERT Book in Pdf for Chapter 7 Permutations and Combinations we have provided all NCERT Books in English Medium for Class 11 which will be really helpful for students who have opted for english language as a medium. Class 11 students will need their books in English so we have provided them here for all subjects in Class 11.

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