Permutations and Combinations PYQs - Last 5 Years
JEE Main / Mathematics / Algebra / 132 recent questions
MathematicsAlgebra2022-2026
Practice 132 JEE Main 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.
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2022-2026
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#2 Easy18
#3 Hard8
132 in last 5 years132 in last 10 years
Last 5 Years Permutations and Combinations Questions
Showing 32 of 132 filtered questions.
1Permutations And Combinations
Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits \(1,2,3,4,5\) with repetition, is _________.
INTEGER+4 / -12023
2Permutations And Combinations
All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is :
MCQ+4 / -12023
3Permutations And Combinations
Let the digits a, b, c be in A. P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive digits are in A.P. at least once. How many such numbers can be formed?
INTEGER+4 / -12023
4Permutations And Combinations
The number of five digit numbers, greater than 40000 and divisible by 5 , which can be formed using the digits \(0,1,3,5,7\) and 9 without repetition, is equal to :
MCQ+4 / -12023
5Permutations And Combinations
In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is _________.
INTEGER+4 / -12023
6Permutations And Combinations
The number of triplets \((x, \mathrm{y}, \mathrm{z})\), where \(x, \mathrm{y}, \mathrm{z}\) are distinct non negative integers satisfying \(x+y+z=15\), is :
MCQ+4 / -12023
7Permutations And Combinations
If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then the serial number of the word THAMS is :
MCQ+4 / -12023
8Permutations And Combinations
Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840, then the total number of persons, who participated in the tournament, is ___________.
INTEGER+4 / -12023
9Permutations And Combinations
The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neither contain the string 153 nor the string 2467, is ___________.
INTEGER+4 / -12023
10Permutations And Combinations
The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to __________.
INTEGER+4 / -12023
11Permutations And Combinations
Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is :
MCQ+4 / -12023
12Permutations And Combinations
The number of 6-digit numbers made by using the digits 1, 2, 3, 4, 5, 6, 7, without repetition and which are multiple of 15 is ____________.
INTEGER+4 / -12022
13Permutations And Combinations
Let b1b2b3b4 be a 4-element permutation with bi \(\in\) {1, 2, 3, ........, 100} for 1 \(\le\) i \(\le\) 4 and bi \(\ne\) bj for i \(\ne\) j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then ...
INTEGER+4 / -12022
14Permutations And Combinations
The total number of four digit numbers such that each of first three digits is divisible by the last digit, is equal to ____________.
INTEGER+4 / -12022
15Permutations And Combinations
The number of matrices of order \(3 \times 3\), whose entries are either 0 or 1 and the sum of all the entries is a prime number, is __________.
INTEGER+4 / -12022
16Permutations And Combinations
The number of natural numbers lying between 1012 and 23421 that can be formed using the digits \(2,3,4,5,6\) (repetition of digits is not allowed) and divisible by 55 is _________.
INTEGER+4 / -12022
17Permutations And Combinations
The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is :
MCQ+4 / -12022
18Permutations And Combinations
The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C4 so that C2 receives at least 4 and at most 7 candies, C3 receives at least 2 and at most 6 candies, is equal to :
MCQ+4 / -12022
19Permutations And Combinations
Let \(S\) be the set of all passwords which are six to eight characters long, where each character is either an alphabet from \(\{A, B, C, D, E\}\) or a number from \(\{1,2,3,4,5\}\) with the repetition of characters allowed. If the number ...
INTEGER+4 / -12022
20Permutations And Combinations
A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then \(\mathrm{b}+3 \mathrm{~g}\) is equal to ____________.
INTEGER+4 / -12022
21Permutations And Combinations
The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is _____________.
INTEGER+4 / -12022
22Permutations And Combinations
Let A be a matrix of order 2 \(\times\) 2, whose entries are from the set {0, 1, 2, 3, 4, 5}. If the sum of all the entries of A is a prime number p, 2 < p < 8, then the number of such matrices A is ___________.
INTEGER+4 / -12022
23Permutations And Combinations
There are ten boys B1, B2, ......., B10 and five girls G1, G2, ........, G5 in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1 and B2 together should not be the members of a group, is...
INTEGER+4 / -12022
24Permutations And Combinations
The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ___________.
INTEGER+4 / -12022
25Permutations And Combinations
The number of 5-digit natural numbers, such that the product of their digits is 36 , is __________.
INTEGER+4 / -12022
26Permutations And Combinations
Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits \(1,2,3,4,5\) and 6 without repetition of digits. Then the total number of such numbers is ____________.
INTEGER+4 / -12022
27Permutations And Combinations
Let A be a 3 \(\times\) 3 matrix having entries from the set {\(-\)1, 0, 1}. The number of all such matrices A having sum of all the entries equal to 5, is ___________.
INTEGER+4 / -12022
28Permutations And Combinations
The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is _____________.
INTEGER+4 / -12022
29Permutations And Combinations
The total number of three-digit numbers, with one digit repeated exactly two times, is ______________.
INTEGER+4 / -12022
30Permutations And Combinations
The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is _____________.
INTEGER+4 / -12022
31Permutations And Combinations
In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, \(-\)2 marks for each wrong answer and 0 mark if the question is not attempted. Then, t...
INTEGER+4 / -12022
32Permutations And Combinations
The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is _____________.
INTEGER+4 / -12022