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JEE Main Permutations and Combinations questions with solutions

Counting principles, arrangements and selections. 10 questions from our 2016–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Permutations and Combinations for JEE Advanced

JEE Main 2025

The number of different four-letter arrangements (meaningful or not) that can be formed from the letters of the word MATHEMATICS isJEE Main 2025 · hard
The number of four-digit numbers, all four of whose digits are distinct and have sum 10, isJEE Main 2025 · medium

JEE Main 2024

The number of ways to distribute 10 identical sweets among 4 children so that every child gets at least 1 sweet and no child gets more than 4 sweets…JEE Main 2024 · medium

JEE Main 2023

The number of arrangements of the letters of the word LETTER in which the two T's are not adjacent isJEE Main 2023 · medium

JEE Main 2022

The number of distinct arrangements of all the letters of the word LEVEL isJEE Main 2022 · easy

JEE Main 2021

The number of four-digit numbers that can be formed using distinct digits from \1,2,3,4,5\ and are divisible by 4 isJEE Main 2021 · medium

JEE Main 2018

A committee of 3 men and 2 women is to be formed from 6 men and 5 women. The number of ways isJEE Main 2018 · easy

JEE Main 2017

The number of arrangements of all the letters of the word MISSISSIPPI in which no two S's are adjacent isJEE Main 2017 · medium
How many 5-digit numbers divisible by 4 can be formed using the digits 0,1,2,3,4,5 without repetition?JEE Main 2017 · hard

JEE Main 2016

From a group of 6 men and 4 women, a four-member team containing at least two women is to be formed. In how many ways can this be done?JEE Main 2016 · medium

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8