Permutations and Combinations PYQs - Last 10 Years
WB JEE / Mathematics / Algebra / 25 recent questions
MathematicsAlgebra2017-2026
Practice 25 WB JEE 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.
25
PYQs on Page
Mathematics / Algebra
2017-2026
Year Range
Based on indexed question metadata
13
Last 5 Years
2022-2026
25
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
20214 max PYQs/year2026
Question Types
25PYQs
MCQ92%
MCQM8%
Difficulty Mix
#1 Unknown25
13 in last 5 years25 in last 10 years
Last 10 Years Permutations and Combinations Questions
Showing 25 of 25 filtered questions.
1Permutations And Combinations
Suppose $A$ is denoted the set of all numbers between 1 and 700 which are divisible by 3 and let $B$ is denoted the set of all numbers between 1 and 300 which are divisible by 7 . If $C=\{(a, b) \mid a \in A, b \in B, a \neq b$ and $a+b=$ e...
MCQ+1 / -0.252026
2Permutations And Combinations
Let 10 Bags $B_1, B_2, \ldots, B_{10}$ which contains $21,22, \ldots, 30$ different articles respectively. Then the total number of ways to bring out 10 articles from a Bag is
MCQ+1 / -0.252026
3Permutations And Combinations
The number of 3-digit numbers we of the form $x y z$ with $x< y, z< y$ and $x \neq 0$ is
MCQ+1 / -0.252026
4Permutations And Combinations
If ${ }^9 P_5+5 \cdot{ }^9 P_4={ }^{10} P_r$, then the value of '$r$' is
MCQ+1 / -0.252025
5Permutations And Combinations
The value of the expression ${ }^{47} C_4+\sum\limits_{j=1}^5{ }^{52-j} C_3$ is
MCQ+1 / -0.252025
6Permutations And Combinations
\(\text { If } 1000!=3^n \times m \text { where } m \text { is an integer not divisible by } 3 \text {, then } n=\)
MCQ+2 / -0.52024
7Permutations And Combinations
Five balls of different colours are to be placed in three boxes of different sizes. The number of ways in which we can place the balls in the boxes so that no box remains empty is
MCQ+2 / -0.52024
8Permutations And Combinations
The numbers \(1,2,3, \ldots \ldots, \mathrm{m}\) are arranged in random order. The number of ways this can be done, so that the numbers \(1,2, \ldots \ldots ., \mathrm{r}(\mathrm{r}<\mathrm{m})\) appears as neighbours is
MCQ+1 / -0.252024
9Permutations And Combinations
A letter lock consists of three rings with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts to open the lock, then
MCQM+2 / -02023
10Permutations And Combinations
Let A be a set containing n elements. A subset P of A is chosen, and the set A is reconstructed by replacing the elements of P. A subset Q of A is chosen again. The number of ways of choosing P and Q such that Q contains just one element mo...
MCQ+1 / -0.252023
11Permutations And Combinations
n objects are distributed at random among n persons. The number of ways in which this can be done so that at least one of them will not get any object is
MCQ+1 / -0.252023
12Permutations And Combinations
The number of ways in which the letters of the word 'VERTICAL' can be arranged without changing the order of the vowels is
MCQ+1 / -0.252023
13Permutations And Combinations
There are n white and n black balls marked 1, 2, 3, ...... n. The number of ways in which we can arrange these balls in a row so that neighbouring balls are of different colours is
MCQ+1 / -0.252022
14Permutations And Combinations
What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any question?
MCQ+1 / -0.252021
15Permutations And Combinations
Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactly three vowels and two consonants. How many of them have all the vowels together?
MCQ+1 / -0.252021
16Permutations And Combinations
If the total number of m-element subsets of the set A = {a1, a2, ..., an} is k times the number of m element subsets containing a4, then n is
MCQ+1 / -0.252020
17Permutations And Combinations
In a 12 storied building, 3 persons enter a lift cabin. It is known that they will leave the lift at different floors. In how many ways can they do so if the lift does not stop at the second floor?
MCQ+1 / -0.252020
18Permutations And Combinations
There are 7 greeting cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The number of ways in which the cards can be put in envelopes, so that exactly 4 of the cards go into envelopes of respective col...
MCQ+1 / -0.252019
19Permutations And Combinations
A candidate is required to answer 6 out of 12 questions which are divided into two parts A and B, each containing 6 questions and he/she is not permitted to attempt more than 4 questions from any part. In how many different ways can he/she ...
MCQ+1 / -0.252019
20Permutations And Combinations
On the occasion of Dipawali festival each student of a class sends greeting cards to others. If there are 20 students in the class, the number of cards sends by students is
MCQM+2 / -02018
21Permutations And Combinations
From a collection of 20 consecutive natural numbers, four are selected such that they are not consecutive. The number of such selections is
MCQ+2 / -0.52018
22Permutations And Combinations
If (2 \(\le\) r \(\le\) n), then \({}^n{C_r}\) + 2 . \({}^n{C_{r + 1}}\) + \({}^n{C_{r + 2}}\) is equal to
MCQ+1 / -0.252018
23Permutations And Combinations
The number of selection of n objects from 2n objects of which n are identical and the rest are different, is
MCQ+1 / -0.252018
24Permutations And Combinations
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is
MCQ+1 / -0.252017
25Permutations And Combinations
The number of all numbers having 5 digits, with distinct digits is
MCQ+1 / -0.252017