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Permutation And Combinations Class 11th Notes - Free NCERT Class 11 Maths Chapter 7 notes - Download PDF

Permutation And Combinations Class 11th Notes - Free NCERT Class 11 Maths Chapter 7 notes - Download PDF

Edited By Ramraj Saini | Updated on Mar 22, 2022 04:51 PM IST

Permutation and Combination belong to the 7 chapter of NCERT. The NCERT Class 11 Maths Chapter 7 notes contain important formulas. Class 11 Math chapter 7 notes explain the important formulas and their required derivations. A Class 11 Maths chapter 7 note contains systematic explanations of topics using examples and exercises. Notes for Class 11 Maths chapter 7 includes FAQ’s or frequently asked questions about the chapter. NCERT Notes for Class 11 Maths CBSE Class 11 Maths chapter 7 notes explain in a simple and understanding way that can reach students easily.

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This Story also Contains
  1. NCERT Class 11 Maths Chapter 7 Notes
  2. Significance of NCERT Class 11 Math Chapter 7 Notes
  3. NCERT Class 11 Notes Chapter Wise.

After going through Class 11 Permutation and Combination notes

Students can also refer to,

NCERT Class 11 Maths Chapter 7 Notes

Fundamental Principle of Counting

It is the basic way of counting that if I have some m numbers of A thing and n numbers of B thing then how many ways I can choose A B.

Permutation

The definition goes by several possible ways of arranging or ordering a set of numbers.

There are two types of Permutation

i. Linear Permutation

ii. Circular Permutation

Linear Permutation

This is defined as when some things are arranged linear wise. Like arrangement of books, pens and many more.

The formula to compute problems goes by - ^nP_r

Consider the following example:

1647323519108

The above example represents a group of five different coloured balls arranged in two different orders in a straight line. Here the starting and ending positions of the balls are different at each order.

Circular Permutation

This is defined as when something is arranged in a circular manner. Like the arrangement of chairs in a round table, or the arrangement of beads in a necklace.

P_n = n-1

Consider the following example:

1647323520513

In the figure above, the five balls are arranged in two different orders in the circular form. Both the permutations look different but they are the same. Because every ball has the same coloured ball to its right and left.

Combination

It is defined as a selection of objects without regard to order.

Now, the formula for finding the number of combinations of n different objects taken r at a time, denoted by nCr.

^nC_r=\frac{n!}{{r!(n-r)!}}

Ex: Choosing 3 pens from the set of 10.

Then

^{10}C_3=\frac{10!}{3!(10-3)!}=120

The relationship between Permutation and Combination is

^nC_r= \frac{^nP_r }{r!}

This becomes the end of the chapter.

Significance of NCERT Class 11 Math Chapter 7 Notes

Class 11 permutation and combination notes will be really helpful for the revision of the entire chapter and get a list of the important topics covered in the notes. Also, Class 11 Math chapter 7 Notes is useful for getting a glance of Class 11 CBSE Maths Syllabuses. These topics can also be downloaded from Class 11 Maths chapter 7 notes pdf download can be used for getting a hard copy and to prepare for the exam.

NCERT Class 11 Notes Chapter Wise.

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