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Mathematics Permutations and Combinations JEE PYQs with Solutions by PW

Permutations and Combinations questions often depend on one key decision: whether to arrange, select, distribute, or count under restrictions. Practising Permutations and Combinations JEE PYQs by PW helps you handle various counting situations with JEE Main and Advanced questions.
authorImageAvisha Das18 Aug, 2026
Permutations and Combinations JEE PYQs

Permutations and Combinations is less about remembering nPr and nCr formulas and more about correctly interpreting what a question is asking you to count. Restrictions such as repetition, fixed positions, grouping, or circular arrangements can change the entire counting approach. Thus, building clarity on these cases is important for solving P&C questions efficiently in JEE.

Physics Wallah brings Permutations and Combinations JEE PYQs from both JEE Main and JEE Advanced, along with solutions for effective practice and revision. Solving these questions helps you apply counting principles, permutations, combinations, and restricted arrangements in actual exam-style conditions.

Permutations and Combinations JEE PYQ PDF

Use the PW PDF for chapter-wise practice after revising the basic counting principles and standard formulas. Attempt each question independently before checking the solution to understand where your counting approach works and where it needs improvement.

 

Permutations and Combinations JEE PYQ PDF

Why Solve the PW Permutations and Combinations JEE PYQs?

PYQs are especially useful in P&C because similar-looking questions can require completely different counting approaches depending on the conditions given.

1. Learn to Separate Selection From Arrangement

Practise deciding whether order matters in a problem before choosing between permutation and combination methods.

2. Handle Restrictions Without Missing Cases

Questions involving fixed positions, together or apart conditions, repetition, or other restrictions help you practise breaking a problem into the right cases.

3. Get Comfortable With Number-Formation Problems

PYQs give you practice with forming numbers under conditions involving digits, divisibility, repetition, distinct digits, and restrictions on particular positions.

4. Evaluate Your Preparation Progress

Your accuracy and solving time across PYQs can help you track improvement and decide when you are ready to move to higher-level practice.

5. Practise Distribution and Group-Formation Problems

Questions involving the distribution of objects, the formation of groups, or the allocation among people help you apply counting principles beyond the straightforward (nPr) and (nCr) formulas.

6. Improve Case Selection for JEE Advanced

Advanced-level P&C problems may require several cases or a combination of counting ideas. PYQ practice helps you organise these cases without overlooking valid possibilities. 

Permutations and Combinations JEE PYQs by PW help you practise counting problems across arrangements, selections, restrictions, distributions, and other applications. Solving questions from both JEE Main and Advanced can improve your ability to identify the right counting approach before starting lengthy calculations.

Also check:

JEE Syllabus

JEE PYQs

JEE Sample Paper

JEE Main Formulas

JEE Advanced formulas

 

Permutations and Combinations JEE PYQ FAQs

What should I study before attempting P&C PYQs?

Revise the fundamental principle of counting, factorials, permutations, combinations, and their basic applications. You should also be comfortable with restrictions and case-based counting. (

How do I know whether to use permutation or combination?

Ask whether changing the order creates a different outcome. If order matters, an arrangement-based approach is generally required; if it does not, a selection-based approach may be appropriate.

Why do P&C questions require casework?

Conditions such as repetition, position restrictions, identical objects, or minimum and maximum requirements can create multiple valid situations that need to be counted separately.

What other JEE Maths resources does Physics Wallah provide?

Physics Wallah provides JEE Maths resources such as PYQs, Mind Maps, MCQs, Diagrams, Formula Sheets, and Sample Papers for revision and practice.

How can I improve my P&C problem-solving approach?

Before calculating, clearly identify what is being selected or arranged, whether repetition is allowed, and what restrictions apply. This prevents you from applying a formula before understanding the counting structure.
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