NCERT Solutions for Class 11 Maths Chapter 6 Permutations and Combinations

This worksheet provides complete and accurate NCERT Solutions for Class 11 Mathematics Chapter Permutations and Combinations. This chapter focuses on understanding how to count arrangements and selections of objects in different ways. It is an important topic in mathematics as it builds the foundation for probability and helps students solve real-life counting problems. The worksheet includes answers strictly based on NCERT guidelines, ensuring clarity and correctness for students.

Chapter summary: stories, poems & themes

This chapter is concept-based and does not include stories or poems. It focuses on mathematical understanding of arrangements and selections. Students learn how to calculate the number of possible ways objects can be arranged or chosen under different conditions. The main theme of the chapter is counting techniques using permutations and combinations. The worksheet is practice-based and focuses on problem-solving.

What this NCERT chapter covers?

• Understanding permutations and combinations 
• Learning counting techniques 
• Developing logical and analytical thinking 
• Applying formulas to solve problems 
• Strengthening problem-solving skills 

How to use these NCERT solutions?

Students should first try solving each question on their own before checking the answers. This helps in better understanding of the concepts. Parents and teachers can use these solutions to guide students and explain methods step by step. The solutions follow the exact NCERT order and structure, making it easier for students to revise and practice effectively.

Student tips & learning tricks

• Carefully read each question before solving 
• Identify whether the problem is about permutation or combination 
• Avoid calculation mistakes in factorials 
• Practice regularly to improve speed and accuracy 
• Follow NCERT methods to write correct answers 

Why NCERT solutions are important?

NCERT Solutions help students build a strong foundation in mathematics. They ensure that students learn correct methods and concepts as per the NCERT syllabus. These solutions improve confidence, help in exam preparation, and make it easier to understand complex topics like permutations and combinations.

Complete answer key – NCERT solutions

Exercise 6.1

1. (i) 125 
(ii) 60 
2. 90 
3. (i) 5040 
4. 336 
5. 8 
6. 20 

Exercise 6.2

1. (i) 40320 
(ii) 18 
2. No 
3. 28 
4. 336 
5. (i) 30 
(ii) 15120 

Exercise 6.3

1. 504 
2. 4536 
3. 60 
4. 120 
5. 56 
6. 8 
7. (i) 3 
(ii) 5 
8. 40320 
9. (i) 360 
(ii) 720 
(iii) 240 
10. 3113510400 
11. (i) 360 
(ii) 720 
(iii) 240 

Exercise 6.4

1. 45 
2. (i) 6 
(ii) 5 
3. 210 
4. 40 
5. 200 
6. 17160 
7. 2380 
8. 200 
9. 21 

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