Permutations and Combinations PYQs - Last 10 Years
JEE Advanced / Mathematics / Algebra / 17 recent questions
MathematicsAlgebra2017-2026
Practice 17 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.
17
PYQs on Page
Mathematics / Algebra
2017-2026
Year Range
Based on indexed question metadata
9
Last 5 Years
2022-2026
17
Last 10 Years
2017-2026
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17PYQs
INTEGER82.4%
MCQ11.8%
MCQM5.9%
Difficulty Mix
#1 Medium10
#2 Hard6
#3 Easy1
9 in last 5 years17 in last 10 years
Last 10 Years Permutations and Combinations Questions
Showing 17 of 17 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
10Permutations And Combinations
Let \({S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}\),\({S_2} = \left\{ {(i,j):1 \le i < j + 2 \le 10,i,j \in \{ 1,2,...,10\} } \right\}\),$${S_3} = \left\{ {(i,j,k,l):1 \le i < j < k < l,i,j,k,l \in \{ 1,2,...,10\} } \righ...
MCQM+4 / -22021
11Permutations And Combinations
In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons. Then the number of all possible ways in which this can...
INTEGER+4 / -02020
12Permutations And Combinations
An engineer is required to visit a factory for exactly four days during the first 15 days of every month and it is mandatory that no two visits take place on consecutive days. Then the number of all possible ways in which such visits to the...
INTEGER+4 / -02020
13Permutations And Combinations
Let |X| denote the number of elements in a set X. Let S = {1, 2, 3, 4, 5, 6} be a sample space, where each element is equally likely to occur. If A and B are independent events associated with S, then the number of ordered pairs (A, B) such...
INTEGER+3 / -02019
14Permutations And Combinations
Five persons A, B, C, D and E are seated in a circular arrangement. If each of them is given a hat of one of the three colours red, blue and green, then the number of ways of distributing the hats such that the persons seated in adjacent se...
INTEGER+3 / -02019
15Permutations And Combinations
In a high school, a committee has to be formed from a group of 6 boys M1, M2, M3, M4, M5, M6 and 5 girls G1, G2, G3, G4, G5.(i) Let \(\alpha\)1 be the total number of ways in which the committee can be formed such that the committee has 5 ...
MCQ+3 / -12018
16Permutations And Combinations
The number of 5 digit numbers which are divisible by 4, with digits from the set {1, 2, 3, 4, 5} and the repetition of digits is allowed, is .................
INTEGER+3 / -02018
17Permutations And Combinations
Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no letter is repeated; and let y be the number of such words where exactly one letter is repeated twice and no other lette...
INTEGER+3 / -02017