Mathematics · JEE

Permutations and Combinations Mock Test for JEE

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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}=

Q9MathsUnit 4: Permutations and Combinations

r>1,

then

\frac{n P_{r}}{n C_{r}}

is This question has multiple correct options

Q10MathsUnit 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?

Q11MathsUnit 4: Permutations and Combinations

A 5 digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 \& 5 without repetition. The total number of ways this can be done is

Q12MathsUnit 4: Permutations and Combinations

Given:

\frac{20 !}{18 !}=380

Q13MathsUnit 4: Permutations and Combinations

The number of words that can be formed out of the letters of the word "ARTICLE" so that the vowels occupy even places is

Q14MathsUnit 4: Permutations and Combinations

In a crossword puzzle, 20 words are to be guessed of which 8 words have each an alternative solution also. The number of possible solutions will be

Q15MathsUnit 4: Permutations and Combinations

4 normal distinguishable dice are rolled once. The number of possible outcomes in which at least one dice shows up 2?

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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.

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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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