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Mathematics · JEE

Permutations and Combinations Concepts for JEE

38+ syllabus-aligned questions available

Quick answer

Master Permutations and Combinations by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Permutations and Combinations before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Permutations and Combinations covering 4 JEE syllabus subtopics including The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r).

Key points

  • Understand the definition and scope of The fundamental principle of counting in the JEE syllabus
  • Memorise key formulas and standard results linked to The fundamental principle of counting
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
  • Understand the definition and scope of Permutations and combinations in the JEE syllabus
  • Memorise key formulas and standard results linked to Permutations and combinations
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise The fundamental principle of counting with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to The fundamental principle of counting and reattempt after 48 hours
  • Revise Permutations and combinations with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Permutations and combinations and reattempt after 48 hours

Common trap

Students often rush The fundamental principle of counting questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

JEE Formula Sheet

45+ important formulas for Permutations and Combinations

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Subtopics in Permutations and Combinations

View Permutations and Combinations formula sheet — 45+ JEE formulas

Free sample questions

Attempt 8 free MCQs for Permutations and Combinations. Unlock 30+ more with Pro.

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Q1MathsUnit 4: Permutations and Combinations
The total number of ways of formation of five letter words from the letters of the word INDEPENDENT,I N D E P E N D E N T, is
Q2MathsUnit 4: Permutations and Combinations
There are 4 balls of different colours &4\& 4 boxes of colours same as those of the balls. The number of ways in which the balls, one in each box, could be placed such that exactly no ball go to the box of its own colour is:
Q3MathsUnit 4: Permutations and Combinations
All the five digit numbers that can be formed using the digits 1,2,3,4,5 without repetition, are arranged in the decreasing order of magnitude. The rank of the number 34215 is
Q4MathsUnit 4: Permutations and Combinations
How many outcomes are possible when a coin is tossed
Q5MathsUnit 4: Permutations and Combinations
7 boys and 8 girls have to sit in a row on 15 chairs numbered from 1 to 15 then?
Q6MathsUnit 4: Permutations and Combinations
Find the correct co-related number. 5:36::6:?\mathbf{5}: \mathbf{3 6}:: \mathbf{6}: ?
Q7MathsUnit 4: Permutations and Combinations
Assertion In the shop there are five types of ice- creams available, a child buys six ice- creams. Reason The number of different ways the child can buy the six ice-creams is 10C3^{10} C_{3}
Q8MathsUnit 4: Permutations and Combinations
Arrange the following values of nn in ascending order. A:nP5=nP6⇒n=\boldsymbol{A}:^{n} \boldsymbol{P}_{5}=^{n} \boldsymbol{P}_{6} \Rightarrow \boldsymbol{n}= B:nP12=nP8⇒n=\boldsymbol{B}:^{\boldsymbol{n}} \boldsymbol{P}_{12}=^{\boldsymbol{n}} \boldsymbol{P}_{\boldsymbol{8}} \Rightarrow \boldsymbol{n}= C:nC(n−3)=10⇒n=\boldsymbol{C}:^{n} \boldsymbol{C}_{(\boldsymbol{n}-\mathbf{3})}=\mathbf{1 0} \Rightarrow \boldsymbol{n}= D:(n+1)P5:nP6=1:2⇒n=\boldsymbol{D}:^{(\boldsymbol{n}+1)} \boldsymbol{P}_{5}:^{\boldsymbol{n}} \boldsymbol{P}_{6}=\mathbf{1}: \boldsymbol{2} \Rightarrow \boldsymbol{n}=

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Frequently asked questions

What concepts in Permutations and Combinations are essential for JEE?

Focus on core ideas across The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r), Simple applications. JEE tests application, not just memorisation.

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