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JEE Main - Permutations and Combinations Important Questions (Free PDF Download)

Last updated date: 13th Jul 2024
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Download Permutations and Combinations Important Questions for JEE Main With Solutions PDF

Vedantu offers a valuable resource with its precisely selected Permutations and Combinations of Important Questions for JEE Main by Vedantu's Master Teachers. They stay well-informed about current trends, ensuring that questions align closely with the JEE Main exam syllabus. Important Questions of Permutations and Combinations for JEE Main come in various formats, including multiple-choice questions (MCQs) and Integer Questions, allowing students to assess their proficiency across different levels. With comprehensive solutions and explanations, the Permutations and Combinations Important Questions for JEE Main PDF helps students to grasp the correct approaches and techniques. Furthermore, the Permutations and Combinations Important Questions JEE Main PDF incorporates Previous Year Questions from the exams, offering students enough questions to solve and excel in the upcoming exam. The best part? These resources are completely free and easily accessible in PDF format for direct download from our website.


JEE Main Important Questions


Text, Images, Videos and PDF


JEE Main

Chapter Name:

Permutations and Combinations

Academic Session:



English Medium



Available Material:

Chapter-wise Important Questions with PDF

Permutations and Combinations in JEE Main covers factorial notation, counting principles (addition and multiplication), permutations (arrangements), Combinations (selections), binomial theorem, and probability basics. These are some of the important topics for JEE Main exams. Check out the table below for more information. 

Year Wise Weightage of Questions: JEE Main Permutations and Combinations

Sl. No.


Average No. Of MCQs Asked

Marks per Question

Total Marks





















To reach your goals, prepare for your JEE Main 2025 exams using Vedantu’s Permutations and Combinations Important Questions for JEE Main PDF and the JEE Main Maths Syllabus 2025.

Competitive Exams after 12th Science

JEE Main 2025: Must-Revise Topics in Permutations and Combinations Important Questions

Let's focus on the key topics you should review in Permutations and Combinations. These important topics can make a real difference in your preparation. Mastering them will give you a strong edge in the upcoming exam. Let's dive into the must-revise topics to help you shine in JEE Main 2025. Therefore, before you get the Permutations and Combinations Important Questions for JEE Main, you can review this list of significant topics.

  • Fundamentals of Counting

  • Factorial Notation

  • Permutations

  • Combinations

  • Binomial Theorem and Applications

  • Arrangements and Selections

  • Multinomial Theorem

  • Pigeonhole Principle

  • Distribution of Identical Objects

  • Circular Permutations

Maths Important Questions: Chapter-wise links 2025

Download JEE Main Maths Chapter-wise Important Questions - Free PDF from the table below:

How Permutations and Combinations Can Shape Your JEE Main 2025 Journey?

For students, Permutations and Combinations important questions for JEE Main serve as a gateway to solving those critical questions. This chapter unravels the secrets behind fundamental concepts such as arrangements, selections, counting principles, and probability. Here, we will discuss why this chapter is indispensable for your JEE Main preparation, highlighting how it can lead you to success in tackling even the most challenging questions.

Students learn chapter Permutations and Combinations in JEE Main helps in exams to excel  because this mathematical concept plays a pivotal role in solving complex problems in various fields, including probability, statistics, and combinatorics. Understanding how to arrange and select items is crucial for tackling challenging questions in competitive exams.

Explore the World of Arrangements and Selections:

  • Imagine arranging your game pieces on a board or choosing toppings for your favourite pizza. That's the heart of permutations and Combinations!

  • In this exciting chapter, we dive into the art of arranging and selecting items in different ways, a skill with applications ranging from probability to coding algorithms.

Permutations: Mixing Up the Order:

  • Imagine you're arranging books on a shelf – that's permutations! The order matters, so every arrangement creates a unique outcome.

  • Think of it as building your own playlist – the sequence of songs matters, and changing even one song transforms the experience.

  • From seating arrangements to number Combinations, permutations bring out the storyteller in numbers!

  • Learn how to calculate permutations when the order of items matters.

Combinations: Embrace the Variety:

  • Combinations are like creating your own sundae with different toppings – order doesn't matter, but variety does!

  • It's like forming a team – who's in the team matters, not who's first or last.

  • Combinations pop up in various scenarios – from selecting your outfit Combinations to creating your dream team in sports.

  • Discover the magic of Combinations in scenarios where the order doesn't play a role.

Unravelling Probability:

  • Permutations and Combinations are like secret keys to unlocking probability problems. Imagine predicting the chances of drawing a specific card from a deck – that's where these skills shine!

  • And hey, if you're into computer science, these concepts pop up in algorithms, cryptography, and more. Cool, right?

Master the Art with Interactive Examples:

  • Brace yourself for interactive problem-solving sessions! We'll walk you through arranging colours, selecting superheroes, and cracking codes – all while mastering permutations and Combinations.

  • Get ready to explore puzzles, riddles, and even real-life applications. Don't worry, we'll break down the steps and make every concept crystal clear.

Why Permutations and Combinations Matter:

  • These skills are crucial not only for JEE Main but also for various fields like statistics, probability, computer science, and more.

  • Stand out with your ability to solve complex problems, predict outcomes, and make informed decisions – all thanks to permutations and Combinations!

Ready to Tackle JEE Main with Confidence?

  • Armed with permutations and Combinations, you'll breeze through questions that might stump others.

  • So gear up to unlock the puzzle of possibilities and embrace the power of permutations and Combinations on your journey to JEE Main success!

Remember, every arrangement and selection has a story to tell. Let's embark on this exciting journey together and unravel the world of permutations and Combinations – one possibility at a time!

Permutations and Combinations Important Questions for JEE Main: Important Formulas to Learn 

If you want to excel in your studies, you can employ a smart strategy by incorporating the Permutations and Combinations chapter in JEE Main into your learning. Formulas serve as concise explanations of crucial concepts within this chapter. When you pair these formulas specifically with Permutations and Combinations Important Questions for JEE Main, you gain a comprehensive learning approach as well as good insight of the exam. This chapter serves as the foundation for building a strong understanding, while formulas aid in grasping concepts and tackling problems effectively. This amalgamation simplifies challenging topics and enhances your memory retention. By following this method, you can elevate your comprehension and achieve better academic performance.

You can also download Vedantu's Maths Formulas related to JEE Main  Permutations and Combinations Important Questions for FREE. When you combine these formulas JEE Main from the same chapter, you will observe significant improvements in your scores.

Next Steps: Further Resources for JEE Main 2025 Permutations and Combinations Important Questions 

Explore additional resources beyond JEE Main 2025 Permutations and Combinations Important Questions. Students need to consider extra materials like practice papers, mock tests, PYQPs, etc., alongside important Permutations and Combinations questions to gain a well-rounded preparation, refine their exam strategies, and build confidence for the JEE Main exam.

Ready to take your JEE Main 2025 Permutations and Combinations preparation up a notch? Delve into these crucial resources:

Combine these resources to refine your understanding and exam-taking abilities. Elevate your performance for JEE Main 2025!

Here are the links for the additional resources of JEE Main 2025:

Prepare With Vedantu’s JEE Main Permutations and Combinations Important Questions to Raise Your Performance

Permutations and Combinations Important Questions JEE Main are fascinating mathematical concepts that play a crucial role in various aspects of our lives, from arranging items to solving complex probability problems. This JEE Main Permutations and Combinations Important Questions PDF provided by Vedantu has been a valuable resource in helping us grasp these concepts. It offers clear explanations, numerous examples, and solving questions, making it easier for learners to understand and apply the chapter. Whether you're planning seating arrangements or calculating probabilities, these principles are indispensable tools. So, embrace the power of JEE Main Permutations and Combinations Important Questions With Solutions PDF, and with the help of it, you can confidently tackle a wide range of real-world problems and puzzles. Happy learning!

JEE Mains PYQ Chapterwise: Mastering  Permutations and Combinations with Past Papers

Conquering JEE Mains requires unwavering dedication and strategic preparation. One invaluable tool in your arsenal is the treasure trove of previous year question papers (PYQs). But navigating those years of questions can be overwhelming, especially for a crucial chapter like  Permutations and Combinations. Enter JEE Mains PYQ Chapterwise: your key to targeted practice and exam mastery in this foundational subject.

By delving into JEE Main Chapter-wise PYQs for  Permutations and Combinations, you gain laser-sharp focus on specific topics within this crucial domain. Imagine tackling your weakest areas, with a targeted set of past questions, building confidence and competence one problem at a time.

Whether you prefer the convenience of a JEE Mains Previous Year Questions Chapter Wise for  Permutations and Combinations with PDF download or prefer working directly from online resources, the benefits are undeniable. You'll hone your problem-solving skills, learn to apply theoretical knowledge to real-world scenarios involving  Permutations and Combinations, and develop the exam temperament needed to excel under pressure, especially when faced with  Permutations and Combinations questions. Remember, these questions are like blueprints for future JEE Mains papers – studying them is like peeking into the exam itself!

So, unleash the power of JEE Main PYQ Chapterwise for  Permutations and Combinations. Download your chosen resources, pick your weakest topic within this chapter, and start practicing. Each solved question is a step closer to your JEE Mains dream. Remember, consistency is key! Make chapterwise PYQs for  Permutations and Combinations a daily ritual, and watch your confidence and competence soar as you approach the exam with a laser-sharp focus and a wealth of knowledge at your fingertips, ready to conquer even the most challenging topics in  Permutations and Combinations.

FAQs on JEE Main - Permutations and Combinations Important Questions (Free PDF Download)

1. What is the importance of solving JEE Main 2025 Important Questions in Permutations and Combinations?

2025 JEE Main Important Questions in Permutations and Combinations are essential for your exam preparation because they are carefully curated to cover a wide range of concepts and difficulty levels. Solving these questions helps you grasp the fundamental concepts, improves problem-solving skills, and familiarise you with the types of questions you can expect in the exam.

2. How can I effectively use JEE Main 2025 Important Questions to master Permutations and Combinations?

Start by understanding the basics of permutations and Combinations. Then, systematically go through the Important Questions. Solve each question step by step, and if you get stuck, refer to the provided solutions. Keep a notebook to jot down important formulas and tricks you come across while solving these questions. Regular solving and review are key to mastering this topic.

3. What are the key topics in Permutations and Combinations that I should focus on while using JEE Main 2025 Important Questions?

Focus on topics like permutations, Combinations, factorial notation, circular permutations, distribution of identical objects, and applications of permutations and Combinations. These are commonly tested concepts in JEE Main, and solving questions related to them is crucial.

4. Are JEE Main 2025 Important Questions for Permutations and Combinations useful for advanced exams like JEE Advanced?

Yes, solving Permutations and Combinations important questions JEE Main 2025 can be beneficial for JEE Advanced preparation as well. While JEE Advanced may have more complex questions, a strong foundation in the basics, which these questions provide, is essential for success in both exams.

5. How can I track my progress while solving JEE Main 2025 Important Questions in Permutations and Combinations?

You can track your progress by maintaining a record of the questions you attempted, the ones you answered correctly, and the ones you found challenging. This will help you identify your weak areas and focus your efforts on improving them.

6. Can I solely rely on JEE Main 2025 Important Questions for Permutations and Combinations for my exam preparation?

While JEE Main 2025 Important Questions are a valuable resource, it's essential to complement them with comprehensive study materials, textbooks, and other solution tests. A well-rounded approach to your studies will better prepare you for the exam.

7. How do I tackle difficult questions in 2025 JEE Main Important Questions of Permutations and Combinations?

Start by breaking down complex problems into smaller, manageable steps. Apply the concepts you've learned, and if you're still stuck, seek help from your teachers, peers, or online resources. Solve with patience and keep trying until you understand the solution.

8. Are there any specific strategies or time management tips for solving JEE Main 2025 Important Questions in Permutations and Combinations?

Yes, allocate a specific amount of time for each question based on its difficulty level. If you find a question too challenging, don't spend too much time on it initially; move on to easier ones and return to it later. Effective time management is crucial during the exam to ensure you attempt all questions.