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JEE Main Permutations and Combinations Practice Paper FREE PDF Download

Last updated date: 19th May 2024
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Permutations and Combinations Practice Paper with Solutions and Answer Key For JEE Main

To excel in JEE Main Maths, one must prioritize the Permutations and Combinations Practice Paper, as it explains the fundamental counting principles, probability, and combinatorial problem-solving skills, which are vital in the field of biology and biotechnology, it is one of the important chapters in JEE Main


JEE Main Practice Paper


Text, Images, Videos and PDF


JEE Main

Chapter Name:

Permutations and Combinations

Academic Session:



English Medium



Available Material:

Chapter-wise Practice paper with PDF

Vedantu takes pride in supporting students on their journey to excel in JEE Main Maths by providing a FREE PDF download of the Permutations and Combinations Practice Paper. This invaluable resource is specifically designed for chapter-wise practice, guaranteeing a comprehensive understanding of essential concepts. By acquiring it for FREE, you can elevate your knowledge and enhance your confidence in handling questions effectively. The inclusion of detailed solutions and answer keys aids in resolving doubts and offers a step-wise approach to practicing questions. Engaging with Vedantu’s Permutations and Combinations Practice Paper for JEE Main also contributes to improving your question-solving speed.

At least 3 questions related to the Permutations and Combinations chapter will be there in the JEE Main Exam. To appreciate its relevance, find the table displaying the Permutations and Combinations chapter's weightage in the JEE Main Exam over the last five years.


Weightage of JEE Main Questions From Permutations and Combinations











Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Permutations and Combinations Practice Paper today to excel in your JEE Main exams!

Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Chemistry,Maths, and Physics—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Chemistry, as well as Physics Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper. 

Subject-wise Links For JEE Main Practice Paper

JEE Main Chemistry Practice Paper

JEE Main Physics Practice Paper

Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers needs to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.

Important Topics From Permutations and Combinations for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Permutations and Combinations. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Permutations and Combinations. Here are some of the important topics of Permutations and Combinations.

  • Fundamental Principle of Counting:

This concept deals with how to count the number of ways something can happen when there are multiple independent choices involved. For example, if you have to choose a shirt, pants, and shoes from a wardrobe, you multiply the number of choices for each item to find the total possibilities.

  • Factorial Notation:

Understanding what "n!" means is crucial. It's the product of all positive integers from 1 to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

  • Permutations:

Permutations are arrangements of objects in a specific order. Focus on permutations of distinct objects and permutations when some objects are identical.

  • Combinations:

Combinations involve selecting objects without considering their order. Study combinations of distinct objects and combinations when some objects are identical.

  • Pascal's Triangle:

Understanding Pascal's Triangle can help you find combinations easily, especially for larger values of n.

  • Binomial Theorem:

This theorem helps you expand binomial expressions. You should be familiar with binomial coefficients and the formula for expanding $(a + b)^n$.

  • Probability:

Basic probability concepts, such as the probability of an event happening, can be related to permutations and combinations. For example, the probability of drawing a certain card from a deck.

  • Solving Problems:

Practice solving problems that involve permutations and combinations. This could include counting problems, probability problems, and combinatorial problems.

  • Applications:

Understand how permutations and combinations are used in real-life situations, such as arranging objects, forming committees, or solving probability questions.

Equations To Score More in Practice Paper of JEE Main Permutations and Combinations

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out Practice Paper of JEE Main Permutations and Combinations. 

Permutations of n distinct items taken r at a time:

  • $P(n, r) = \frac{n!}{(n - r)!}$

Combinations of n distinct items taken r at a time:

  • $C(n, r) = \binom{n}{r} = \frac{n!}{r!(n - r)!}$

Permutations of n distinct items in a circular arrangement:

  • $P_c(n) = (n - 1)!$

Number of ways to arrange n items with indistinguishable items of k types, where there are $n_1$  items of type 1, $n_2$  items of type 2, and so on:

  • $\frac{n!}{n_1! \cdot n_2! \cdot \ldots \cdot n_k!}$

Number of ways to choose r items from n distinct items with replacement:

  • $n^r$

Number of ways to choose r items from n distinct items without replacement (combinations without repetition):

  • $C(n, r) = \binom{n}{r} = \frac{n!}{r!(n - r)!}$

For more formulas and equations you can refer Vedantu’s JEE Main Formula page.

What Makes Vedantu’s Practice Paper PDF of JEE Main Permutations and Combinations Different?

The major function of Practice Paper for JEE Main is to facilitate student preparation by offering questions designed in the same pattern as the JEE Main exam. Vedantu’s JEE Main Practice Papers stands as the immediate resource following the completion of each Maths chapter. Now, let’s discover the salient features of Vedantu’s Permutations and Combinations Practice Paper for JEE Main.

  • Quality Content: Vedantu's Practice Paper for Permutations and Combinations is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

  • Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Permutations and Combinations, allowing students to thoroughly practice and master each topic.

  • Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Permutations and Combinations JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

  • User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

  • Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.

How To Prepare For JEE Main With Permutations and Combinations Practice Paper?

Vedantu’s Permutations and Combinations JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam. 

  1. Download the Daily Practice Paper of JEE Main Permutations and Combinations.

  2. You can set a timer of 1 hour.

  3. Solve the easy questions first and give time for tough questions.

  4. Note your answers in a sheet of paper and check with the answer key.

  5. Each question carries 4 marks and give a negative mark of -1 for each questions.

  6. Now calculate the score and analyse yourself. 

  7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers. 

  8. Learn how to do the incorrect answers and prcatice the questions again.

  9. Make a note of the time you taking for each question to practice. 

When to Start Preparing With JEE Main Practice Paper of Permutations and Combinations?

Starting your JEE Main Practice Paper of Permutations and Combinations preparation early in your academic journey is a strategic choice, allowing ample time for comprehensive subject mastery and thorough revision, pivotal for achieving exam success. Follow this timeline to make the most of your JEE Main preparation using Daily Practice Paper.

  • Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Permutations and Combinations.

  • Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Permutations and Combinations into your routine. 

  • Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.

Additional Materials To cover With  JEE Main Permutations and Combinations Practice Paper

After learning with the Permutations and Combinations chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Permutations and Combinations you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.

Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Permutations and Combinations, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.

Mastering Permutations and Combinations With JEE Main Practice Paper

The JEE Main Permutations and Combinations Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Permutations and Combinations Daily Practice Paper for FREE!

JEE Mains Sample Paper: Permutations and Combinations

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Permutations and Combinations chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.

With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

FAQs on JEE Main Permutations and Combinations Practice Paper FREE PDF Download

1. What is the importance of practicing permutations and combinations for JEE Main?

Practicing permutations and combinations is crucial for JEE Main as it forms the basis for solving complex problems in mathematics and other subjects. It helps develop problem-solving skills and boosts your chances of scoring well in the exam.

2. What are permutations and combinations, and how are they different?

Permutations are arrangements of objects in a specific order, while combinations are selections of objects without considering the order. For example, arranging books on a shelf is a permutation, while selecting books to read is a combination.

3. What are the common mistakes students make when solving permutations and combinations problems for JEE Main?

Common mistakes include not understanding when to use permutations or combinations, neglecting to account for repetitions, and misapplying the formulas.

4. Are there any shortcuts or tricks for solving permutations and combinations quickly?

Certain techniques like using the multiplication principle, recognizing when order matters, and simplifying factorials that can help you solve these problems more efficiently.

5. Can you recommend any resources or books for further practice in permutations and combinations for JEE Main?

Apart from Vedantu's practice papers, you can refer to books like "Arihant's New Pattern Mathematics for JEE Main and Advanced" and "RD Sharma Mathematics for JEE."

6. What topics within permutations and combinations should I focus on for JEE Main?

Focus on fundamental concepts like permutations, combinations, binomial coefficients, and applications in probability and counting principles.

7. What's the best approach to tackling tricky permutations and combinations questions in the JEE Main practice paper?

Break down complex problems into smaller, manageable steps, and apply the relevant formulas systematically. Practice is key to mastering tricky questions.

8. What is the role of permutations and combinations in other areas of mathematics and science, beyond JEE Main?

Permutations and combinations have applications in various fields like statistics, computer science, and physics, making them essential concepts for a wide range of academic and professional pursuits.