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Mathematics · JEE

Permutations and Combinations Revision for JEE

38+ syllabus-aligned questions available

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Revise Permutations and Combinations by covering every subtopic once, drilling formulas, then solving 38+ timed MCQs with full solutions.

Use this Permutations and Combinations revision checklist before mocks and the final exam. Reinforce concepts with 38+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Fundamental counting principle
  2. 2.Permutations with/without repetition
  3. 3.Combinations and circular permutations
  4. 4.Revise The fundamental principle of counting with 10 MCQs
  5. 5.Revise Permutations and combinations with 10 MCQs
  6. 6.Revise Meaning of P(n,r) and C(n,r) with 10 MCQs
  7. 7.Revise Simple applications with 10 MCQs

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

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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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How should I revise Permutations and Combinations before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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