Mathematics · JEE

Online Practice: Permutations and Combinations for JEE

40+ syllabus-aligned questions available

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Goodmarks provides free online JEE practice for Permutations and Combinations with 40+ 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 40+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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Subtopics in Permutations and Combinations

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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

I N D E P E N D E N T,

Q2MathsUnit 4: Permutations and Combinations

There are 4 balls of different colours

\& 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.

\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

^{10} C_{3}

Q8MathsUnit 4: Permutations and Combinations

Arrange the following values of

n

in ascending order.

\boldsymbol{A}:^{n} \boldsymbol{P}_{5}=^{n} \boldsymbol{P}_{6} \Rightarrow \boldsymbol{n}=

\boldsymbol{B}:^{\boldsymbol{n}} \boldsymbol{P}_{12}=^{\boldsymbol{n}} \boldsymbol{P}_{\boldsymbol{8}} \Rightarrow \boldsymbol{n}=

\boldsymbol{C}:^{n} \boldsymbol{C}_{(\boldsymbol{n}-\mathbf{3})}=\mathbf{1 0} \Rightarrow \boldsymbol{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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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 40+ 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.

Do I get solutions after each question?

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.