Best Strategies to Ace JEE Main 2025-26 Permutations and Combinations Mock Tests
Permutations and Combinations form the backbone of counting principles in JEE Mathematics, frequently appearing in both easy and challenging problems across the exam. This chapter builds your skills for complex arrangement, selection, and probability questions, ensuring a firm grasp on vital concepts such as permutations, combinations, and their real-life applications. Take this mock test to sharpen your problem-solving and elevate your JEE Main confidence!
Mock Test Instructions for the Permutations and Combinations:
- 20 questions from Permutations and Combinations
- Time limit: 20 minutes
- Single correct answer per question
- Correct answers appear in bold green after submission
How Can JEE Mock Tests Help You Master Permutations and Combinations?
- Practice various arrangements and selections to improve fluency in permutation and combination problems.
- Use mock tests to identify and eliminate common mistakes in factorial calculations and formula application.
- Solve diverse scenarios like circular permutations and restriction-based selections for exam success.
- Mock tests help strengthen logical reasoning for counting, probability, and arrangement-based questions.
- Track progress and build confidence by reviewing detailed solutions to combinatorial problems after each test.
Boost Your JEE Maths Scores: Expert-Designed Mock Tests on Permutations and Combinations
- Work on advanced questions involving division into groups, placements with conditions, and identical objects for better exam preparation.
- Develop time management by solving permutation/combination MCQs under real exam conditions.
- Understand and memorize important formulas using thorough test repetition and retrieval practice.
- Enhance strategic thinking by analyzing tricky distributions and arrangement-based JEE questions.
- Get detailed feedback on your strengths and weaknesses to personalize your study plan and maximize your score.
Subject-Wise Excellence: JEE Main Mock Test Links
| S.No. | Subject-Specific JEE Main Online Mock Tests |
|---|---|
| 1 | Online FREE Mock Test for JEE Main Chemistry |
| 2 | Online FREE Mock Test for JEE Main Maths |
| 3 | Online FREE Mock Test for JEE Main Physics |
Important Study Materials Links for JEE Exams
FAQs on Permutations and Combinations JEE Main Mock Test 2025-26: Ultimate Preparation Guide
1. What is the difference between permutations and combinations?
Permutations refer to the arrangement of objects in a specific order, whereas combinations refer to the selection of objects without considering the order. In permutations, order matters (e.g. selecting president, vice president), while in combinations, order does not matter (e.g. forming a committee).
2. How do you find the number of permutations of n different objects taken r at a time?
The number of permutations of n different objects taken r at a time is given by the formula: P(n, r) = n! / (n - r)! Here, '!' denotes factorial, and it counts all possible ordered arrangements.
3. What is the formula to calculate the number of combinations of n objects taken r at a time?
The number of combinations of n objects taken r at a time is given by: C(n, r) = n! / [r! (n - r)!]. In combinations, the order of selection is not important.
4. Why are permutations and combinations important in real life?
Permutations and combinations are essential in real-life applications such as lottery probability, creating passwords, forming teams, genetic arrangements, organizing tournaments, and solving probability problems in research and logistics.
5. How can I quickly master the topic of permutations and combinations?
To master permutations and combinations:
1. Understand the fundamental concepts of arrangement and selection.
2. Practice standard formulas and their derivations.
3. Solve various example problems from JEE, NDA, and Class 11 exams.
4. Take mock tests and review mistakes.
5. Relate problems to real-life scenarios for better understanding. Consistent practice is key.
6. Can you give an example of a permutation problem from a JEE/competitive exam?
Example: In how many ways can the letters of the word 'MATH' be arranged?
Solution: There are 4 letters. Number of arrangements = 4! = 24 ways.
7. Can you give an example of a combination problem from a board/class 11 exam?
Example: In how many ways can you select 3 students from a group of 5?
Solution: C(5,3) = 5! / [3! × (5 - 3)!] = 10 ways.
8. What are some common mistakes to avoid in permutations and combinations problems?
Common mistakes include:
• Confusing when to use permutations (order matters) vs. combinations (order doesn't matter).
• Forgetting to account for identical items.
• Not using the correct formula based on conditions.
• Overlooking restrictions such as specific positions or groups.
9. Where can I practice permutation and combination mock tests for free?
You can practice permutation and combination mock tests on popular educational platforms like Vedantu, BYJU'S, Toppr, and other competitive exam preparation websites. Many sites provide free quizzes, timed tests, and previous year question papers.
10. Are there any PDF resources for permutation and combination questions with solutions?
Yes, you can find downloadable PDFs with permutation and combination questions and solutions on websites like Vedantu, Toppr, and Examrace. These PDFs include solved examples, practice tests, and detailed explanations for concepts.
11. What is the significance of the factorial (n!) in permutations and combinations?
The factorial (n!) represents the product of all positive integers up to n and is fundamental for counting the total arrangements (permutations) or selections (combinations) of objects. It forms the basis of almost all formulas in this chapter.
12. How can permutations and combinations help in probability problems?
Permutations and combinations help to calculate the total number of possible outcomes in a probability experiment. By knowing the possible arrangements or selections, you can use the formula: Probability = (Favourable outcomes) / (Total outcomes), making it easier to solve complex problems.
