Mathematics · JEE

Permutations and Combinations MCQs for JEE

32+ syllabus-aligned questions available

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Permutations and Combinations JEE MCQs on Goodmarks include 32+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Permutations and Combinations through exam-style multiple-choice questions. This page features 32+ JEE MCQs covering The fundamental principle of counting, Permutations and combinations, Meaning of P(n,r) and C(n,r), Simple applications, each with verified answers and clear explanations.

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

Attempt 8 free MCQs for Permutations and Combinations. Unlock 24+ 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
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=nP6n=\boldsymbol{A}:^{n} \boldsymbol{P}_{5}=^{n} \boldsymbol{P}_{6} \Rightarrow \boldsymbol{n}= B:nP12=nP8n=\boldsymbol{B}:^{\boldsymbol{n}} \boldsymbol{P}_{12}=^{\boldsymbol{n}} \boldsymbol{P}_{\boldsymbol{8}} \Rightarrow \boldsymbol{n}= C:nC(n3)=10n=\boldsymbol{C}:^{n} \boldsymbol{C}_{(\boldsymbol{n}-\mathbf{3})}=\mathbf{1 0} \Rightarrow \boldsymbol{n}= D:(n+1)P5:nP6=1:2n=\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 type of Permutations and Combinations MCQs appear in JEE?

JEE Main tests Permutations and Combinations through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

How many MCQs should I solve for Permutations and Combinations?

Aim for at least 50–100 MCQs per subtopic. Goodmarks has 32+ questions for Permutations and Combinations to build speed and accuracy.

Are solutions provided for every MCQ?

Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

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