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Ultimate Guide to JEE Main 2025-26: Permutations and Combinations Mock Test

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Top Strategies to Ace JEE Main Permutations and Combinations Mock Tests

Practicing mock tests is essential for mastering Permutations and Combinations. These tests help reinforce your understanding of counting principles and selection strategies crucial for JEE Main success. By simulating the actual exam environment, mock tests boost your confidence and reveal your strengths and weaknesses. For more resources, check out Vedantu’s JEE Main page.


Permutations and Combinations builds your foundation in logic and efficient problem-solving for competitive Maths exams like JEE Main.


Permutations and Combinations JEE Main Mock Test Links

Sl No. Mock Test
1 JEE Main 2025-26 Maths Permutations and Combinations Mock Test 1
2 JEE Main 2025-26 Maths Permutations and Combinations Mock Test 2
3 JEE Main 2025-26 Maths Permutations and Combinations Mock Test 3

Why These Mock Tests Are Essential for Permutations and Combinations

Mock tests are essential for mastering Permutations and Combinations as they help you:


  • Practice Core Techniques: Strengthen your grasp of arrangements, selections, and fundamental counting principles.
  • Spot Weak Points: Quickly identify your conceptual gaps and rectify them before the real JEE Main exam.
  • Master Problem-Solving: Build speed and accuracy with JEE-style MCQs that test real application of concepts.
  • Get Exam-Ready: Work under time pressure to enhance your question selection and exam strategy.

The Benefits of Online Mock Tests for JEE Main Preparation

Online mock tests provide immediate feedback, which is one of their greatest advantages. After completing the tests, you’ll receive detailed analysis reports showing which areas you performed well in and where you need improvement. This feedback allows you to revise effectively.


Additionally, online mock tests simulate the JEE Main exam environment, allowing you to experience time constraints and the interface of the real exam.


Preparation Tips for Permutations and Combinations

To excel in Permutations and Combinations, follow these tips:


  • Understand the Basics: Master fundamental counting principles and the difference between permutations and combinations.
  • Practice a Variety of Problems: Focus on arrangement, selection, circular permutations, and mixed concept questions.
  • Revise Standard Results: Keep key formulae and shortcuts handy for quick recall in the exam.
  • Analyze Mistakes: Review each mock test attempt to pinpoint errors and avoid repeating them.
  • Build Speed: Time yourself during practice to improve both accuracy and efficiency.

How Vedantu Supports JEE Main Preparation for Permutations and Combinations

Vedantu offers personalized learning paths and expert guidance to help you master Permutations and Combinations for JEE Main. With live, interactive classes, you can ask questions and get real-time feedback from expert teachers.


Vedantu’s platform also offers targeted mock tests for Permutations and Combinations that simulate real exam conditions, giving you the opportunity to practice problem-solving and refine your exam strategy.


Chapter-Wise FREE JEE Main 2025-26 Mock Test Links

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Subject-Wise Excellence: JEE Main Mock Test Links

S.No. Subject-Specific JEE Main Online Mock Tests
1Online FREE Mock Test for JEE Main Chemistry
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Important Study Materials Links for JEE Exams

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10JEE Main Topic-wise Index

FAQs on Ultimate Guide to JEE Main 2025-26: Permutations and Combinations Mock Test

1. What is the difference between permutations and combinations?

Permutations refer to the arrangement of objects in a specific order, while combinations refer to the selection of objects regardless of order. In permutations, order matters; in combinations, it does not.

2. How many ways can 3 books be arranged on a shelf from a collection of 7?

To arrange 3 books from 7, use the permutation formula: nPr = n! / (n - r)!. Here, n = 7 and r = 3, so there are 210 ways to arrange the books.

3. How many ways can a committee of 4 be formed from 10 people?

To select a committee of 4 from 10 people, use the combination formula: nCr = n! / [r! (n - r)!]. Here, n = 10 and r = 4, so there are 210 different ways to form the committee.

4. What is the formula for nPr and nCr?

nPr (number of permutations) = n! / (n - r)! and nCr (number of combinations) = n! / [r! (n - r)!], where n is the total items and r is the number chosen.

5. In how many ways can the letters of the word 'OBJECT' be arranged?

All letters in 'OBJECT' are distinct. The number of ways to arrange 6 letters is 6! = 720 ways.

6. What are some real-life applications of permutations and combinations?

Permutations and combinations are used in situations like lottery probability, seating arrangements, selecting teams, password formations, and event scheduling, helping solve problems where counting possible options is key.

7. How can I master permutations and combinations for JEE or NDA exams?

To master these concepts, follow these tips:
- Strengthen your theoretical basics
- Practice a variety of problems regularly
- Solve previous year papers
- Review common mistakes
- Attempt mock tests for time management.

8. What is the value of 5C2?

Using the formula: 5C2 = 5! / (2! × 3!) = 10. So, there are 10 ways to select 2 items from 5.

9. Can you give an example of a permutation problem with repetition allowed?

If you have 3 types of ice cream and want to form a 2-scoop sundae, where repetitions are allowed, use the formula n^r. There are 3^2 = 9 possible sundaes.

10. Why is order important in permutations but not in combinations?

In permutations, the position of each object affects the outcome. For example, ABC and BAC are distinct. In combinations, only the selection matters, not the arrangement, so ABC and BAC are considered the same.

11. What is a permutation and combination mock test?

A permutation and combination mock test is a practice exam containing a variety of questions based on arrangement, selection, and counting principles. These tests help students evaluate their understanding and readiness for competitive exams such as JEE, NDA, or CBSE Class 11.

12. Where can I download permutations and combinations test PDFs for practice?

You can find free and premium permutations and combinations test PDFs on educational websites such as Vedantu, NCERT portals, and exam preparation platforms, which provide chapter-wise and comprehensive practice papers with solutions.