Permutation and Combination - JEE Main Previous Year Questions with Solutions and Weightage

Permutation and Combination carries 3.3% weightage in the JEE Main Mathematics Question Paper, generally 1-2 questions are asked from this topic.

Permutation and Combination is an Important topic in JEE Main 2025 Mathematics as it forms the basis of Probability and many counting problems.

Permutation and Combination is considered to be of a moderate difficulty level with major focus on subtopics such as Circular Permutations, Derangements.

Must Read Articles:

• Download JEE Main Last 10 year PYQ for Free
• Download JEE Main 2025 Shift 1 Question Paper with Detailed Solutions

The Permutation and Combination related questions with detailed solutions asked in JEE Main are listed below:

Question 1

1. PRNAKU
2. PRKANU
3. PRKAUN
4. PRNAUK

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Question 2

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Question 3

1. 8925
2. 8750
3. 9100
4. 8575

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Question 4

1. 5719
2. 4608
3. 5720
4. 4607

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Question 5

1. 3
2. 1
3. 2
4. 4

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Question 6

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Question 7

1. 8925
2. 8750
3. 9100
4. 8575

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Question 8

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Question 9

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Question 10

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JEE Main 2025 Mathematics Question Paper Pattern

The JEE Main 2025 Mathematics question paper consists of 25 mandatory questions worth a total of 100 marks. Each correct answer will be awarded +4 marks and 1 mark will be deducted for every incorrect answer.

JEE Main Mathematics Chapter Wise Weightage

The JEE Main Mathematics chapters are divided into three categories: High weightage, Medium Weightage and Low Weightage.

High Weightage Chapters: Coordinate Geometry (15.33%), Calculus (12%) and Algebra (27%) are the highest weightage chapters in Mathematics. Candidates should have a strong hold on the concept and formulas in order to maximize their score.

Medium Weightage Chapters: Vector Algebra (6.33%), 3D Geometry (6.6%), Probability and Statistics (6.5%) and Differential Equations (5.6%) are categorized in the medium weightage chapters as they are responsible for approximately 2-4 questions in the Mathematics question paper.

Low Weightage Chapters: Trigonometry (4.5%), Permutation and Combination (3.5%) and Binomial Theorem (3.1%) are categorized in the low weightage chapters. Questions from these chapters are not frequently asked in the mathematics paper.

JEE Main Mathematics Previous Year Question Papers with Solutions

The JEE Main Mathematics question paper PDFs along with the detailed solution PDFs for the last 5 years is tabulated below:

JEE Main 2024 Mathematics Question Paper Session 1

JEE Main 2024 Mathematics Question Paper Session 2

JEE Main 2023 Mathematics Question Paper

JEE Main 2023 Mathematics Question Paper Session 1

JEE Main 2022 Mathematics Question Paper with Solution PDF

JEE Main 2022 Mathematics Question Paper with Solution PDF- Phase 1

JEE Main 2021 Mathematics Question Paper- Download PDF

JEE Main 2021 Mathematics Question Paper with Solution (Session3- July)- Download PDF

JEE Main 2021 Mathematics Question Paper with Solution (Session 2- March)- Download PDF

JEE Main 2021 Mathematics Question Paper with Solution (Session 1- February) - Download PDF

JEE Main 2020 Mathematics Question Paper with Solutions- Download PDF

JEE Main 2020 Mathematics Question Paper with Solutions (Session 1- January) - Download PDF

Also Check:

• NCERT Mathematics Class 11th Books
• NCERT Mathematics Class 12th Books
• Study Notes for Permutation and Combination

Frequently Asked Questions

What are the 4 types of permutations?

The four main types of permutations are-

Permutations with Repetition: In this type of permutation, elements can be repeated in the arrangement.

Permutation without Repetition: In this each element can appear only once in the arrangement. For example, permutations of the letters ‘ABC’ are ‘ABC’, ‘ACB’, ‘BAC’, ‘BCA’, ‘CAB’ AND ‘CBA’ without repetition.

Permutation with Multi Sets: It involves arranging elements in a way where some elements are repeated but the order of the repetitions matters.For example, the permutations of the letters ‘AAB’ are ‘AAB’, ‘ABA’ and ‘BAA’.

Circular Permutations: In this type, the arrangement is circular, meaning that the starting point is not fixed. For example, arranging 3 people around a circular table.

What is Permutation and Combination?

Permutations are used when order of arrangement is needed. Combinations are used when only the number of possible groups are to be found and the order of arrangements is not needed. Permutations are used for things of a similar kind.

What is 7 permutation?

Here is an example to explain what is 7 permutation:

7! = 7*6*5*4*3*2*1 = 5,040. To calculate permutations, use the equation nPr where n is the total number of choices and r is the amount of items being selected. The formula used to slove this equation is nPr = n! / (n - r)!.

What is the nPr and nCr formula?

The formulas for permutations (nPr) and combinations (nCr) are as follows: nPr = n! / (n - r)!

and nCr = n! / (r! * (n - r)!). In these formulas, where ‘n’ is the total number of items and ‘r’ is the number of items being chosen.

nPr (Permutations)

This formula calculates the number of ways to arrange ‘r’ items out of the ‘n’ items where the order of arrangement matters.

Formula: nPr = n! / (n-r)!

nCr (Combinations)

This formula calculated the number of ways to choose ‘r’ items out of ‘n’ items where the order of selection does not matter.

Formula: nCr = n! / (r! * (n-r)!)