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Mathematics · JEE

Permutations and Combinations Mock Test for JEE

32+ syllabus-aligned questions available

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A Permutations and Combinations JEE mock test on Goodmarks lets you attempt 32+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Permutations and Combinations mock test. Attempt 32+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

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 long should a Permutations and Combinations mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

What is a good score on a Permutations and Combinations mock test?

Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

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Yes. Each MCQ is scored instantly with the correct answer and explanation shown after submission.

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Pro users can generate new question sets by topic. Reattempting the same questions after a gap is excellent for retention.

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