Permutations and Combinations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2026

Let $S=\{(m, n): m, n \in\{1,2,3, \ldots, 50\}\}$. If the number of elements ( $\mathrm{m}, \mathrm{n}$ ) in S such that $6^m+9^n$ is a multiple...

JEE Main Mathematics Hard

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Q JEE MAIN 2019

A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is...

JEE Main Mathematics Easy

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Q JEE MAIN_2019_

The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11...

JEE Main Mathematics Medium

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Q JEE-Advanced 2025

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...

JEE Advance Mathematics Easy

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Q JEE Main 2020

If the letters of the word ‘MOTHER’ be permuted and all the words so formed (with or without meaning) be listed as in a dictionary,...

JEE Main Mathematics Easy

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Q JEE MAIN 2020

Let $n>2$ be an integer. Suppose that there are $n$ Metro stations in a city located along a circular path. Each pair of stations is...

JEE Main Mathematics Hard

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Q JEE MAIN 2019

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly...

JEE Main Mathematics Hard

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Q JEE MAIN 2019

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7,9 (repitition of digits allowed) is...

JEE Main Mathematics Medium

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Q JEE-MAIN 2019

Consider three boxes, each containing 10 balls labelled 1, 2, ...,10. Suppose one ball is randomly drawn from each of the boxes. Denote by ni,...

JEE Main Mathematics Easy

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Q JEE MAIN 2020

If the number of five digit numbers with distinct digits and 2 at the $10^{\text {th }}$ place is 336 k , then k is...

JEE Main Mathematics Easy

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