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Online Practice: Permutations and Combinations for JEE

32+ syllabus-aligned questions available

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Goodmarks provides free online JEE practice for Permutations and Combinations with 32+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Permutations and Combinations. Goodmarks offers 32+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

How do I practice Permutations and Combinations online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Permutations and Combinations question bank with topic filters and detailed explanations.

How many Permutations and Combinations questions are available?

Goodmarks currently has 32+ JEE-aligned MCQs for Permutations and Combinations, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r), Simple applications.

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Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.

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