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Mathematics · JEE

Important Questions: Permutations and Combinations for JEE

32+ syllabus-aligned questions available

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The most important Permutations and Combinations questions for JEE cover conceptual traps, standard results, and numerical patterns from The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r), Simple applications. Goodmarks provides 32+ high-yield MCQs with full solutions.

Focus on what matters most. These important Permutations and Combinations questions cover high-weightage concepts from The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r), Simple applications — the topics JEE repeats every year.

Subtopics in Permutations and Combinations

  • The fundamental principle of counting
  • Permutations and combinations
  • Meaning of P(n,r) and C(n,r)
  • Simple applications

Free sample questions

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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
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
Q3MathsUnit 4: Permutations and Combinations
How many outcomes are possible when a coin is tossed
Q4MathsUnit 4: Permutations and Combinations
7 boys and 8 girls have to sit in a row on 15 chairs numbered from 1 to 15 then?
Q5MathsUnit 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}
Q6MathsUnit 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}=
Q7MathsUnit 4: Permutations and Combinations
If r>1,r>1, then nPrnCr\frac{n P_{r}}{n C_{r}} is This question has multiple correct options
Q8MathsUnit 4: Permutations and Combinations
In how many ways is it possible to choose a white square and a black square on a chessboards, so that the squares must not lie in the same row or column?

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Frequently asked questions

What makes a Permutations and Combinations question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Permutations and Combinations are high-weightage?

Key areas include The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r), Simple applications. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.

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