Permutations and Combinations PYQs - Last 5 Years
JEE Advanced / Mathematics / Algebra / 9 recent questions
MathematicsAlgebra2022-2026
Practice 9 JEE Advanced Mathematics questions from Permutations and Combinations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
9
PYQs on Page
Mathematics / Algebra
2022-2026
Year Range
Based on indexed question metadata
9
Last 5 Years
2022-2026
9
Last 10 Years
2017-2026
Recent Year Trend
2022
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2026Latest year
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Question Types
9PYQs
INTEGER88.9%
MCQ11.1%
Difficulty Mix
#1 Medium5
#2 Hard4
9 in last 5 years9 in last 10 years
Last 5 Years Permutations and Combinations Questions
Showing 9 of 9 filtered questions.
1Permutations And Combinations
The number of ways to distribute 10 identical red pens and 14 identical blue pens among four persons such that each person gets 6 pens, is ______________.
INTEGER+4 / -02026
2Permutations And Combinations
Let $S = \{1, 2, 3, \ldots, 10\}$. Consider the set $X = \{R : R \text{ is an equivalence relation on the set } S \text{ such that } R \text{ has exactly 42 elements}\}$. Then the number of elements in $X$ is ____________.
INTEGER+4 / -02026
3Permutations And Combinations
Let $S$ be the set of all seven-digit numbers that can be formed using the digits $0, 1$ and $2$. For example, $2210222$ is in $S$, but $0210222$ is NOT in $S$.Then the number of elements $x$ in $S$ such that at least one of the digits $0$ ...
INTEGER+4 / -02025
4Permutations And Combinations
Let the set of all relations $R$ on the set $\{a, b, c, d, e, f\}$, such that $R$ is reflexive and symmetric, and $R$ contains exactly $10$ elements, be denoted by $\mathcal{S}$.Then the number of elements in $\mathcal{S}$ is ______________...
INTEGER+4 / -02025
5Permutations And Combinations
If the value of $n(Y)+n(Z)$ is $k^2$, then $|k|$ is _________.
INTEGER+3 / -02024
6Permutations And Combinations
If $n(X)={ }^m C_6$, then the value of $m$ is _____
INTEGER+3 / -02024
7Permutations And Combinations
A group of 9 students, $s_1, s_2, \ldots, s_9$, is to be divided to form three teams $X, Y$, and $Z$ of sizes 2,3 , and 4 , respectively. Suppose that $s_1$ cannot be selected for the team $X$, and $s_2$ cannot be selected for the team $Y$....
INTEGER+4 / -02024
8Permutations And Combinations
Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue bal...
MCQ+3 / -12022
9Permutations And Combinations
The number of 4-digit integers in the closed interval [2022, 4482] formed by using the digits \(0,2,3,4,6,7\) is _________.
INTEGER+3 / -02022