Permutations And Combinations — JEE Main Previous Year Questions

198 solved PYQs · 2016–2026 · Mathematics

Solved PYQs: 198
Years covered: 2016–2026
Avg / year: ~18
Subject: Mathematics

How many JEE Main questions come from Permutations And Combinations?

Permutations And Combinations has contributed 198 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 18 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 198 questions carries a written, step-by-step solution, and each is tagged to Permutations And Combinations within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Permutations And Combinations questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 198 Permutations And Combinations questions (with full written solutions) are available in practice.

Question 1 · JEE Main 2026
The number of ways, of forming a queue of 4 boys and 3 girls such that not all the girls are together, is:
1. (A) $5040$
2. (B) $3050$
3. (C) $3410$
4. (D) $4320$
Show answerAnswer
$Answer: (D) 4320$
Question 2 · JEE Main 2026
The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is
1. (A) $384$
2. (B) $403$
3. (C) $429$
4. (D) $455$
Show answerAnswer
$Answer: (D) 455$
Question 3 · JEE Main 2026
The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each digit is used at least once, is:
1. (A) $15400$
2. (B) $17800$
3. (C) $16800$
4. (D) $29400$
Show answerAnswer
$Answer: (C) 16800$
Question 4 · JEE Main 2026
A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :
1. (A) $4100$
2. (B) $4140$
3. (C) $4230$
4. (D) $4290$
Show answerAnswer
$Answer: (A) 4100$
Question 5 · JEE Main 2026
The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word "UDAYPUR" is
1. (A) $1579$
2. (B) $1578$
3. (C) $1580$
4. (D) $1581$
Show answerAnswer
$Answer: (C) 1580$

Permutations And Combinations questions by year

Year	Questions	Share of chapter questions
2026	22
2025	21
2024	21
2023	47
2022	21
2021	25
2020	16
2019	13
2018	4
2017	3
2016	5

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FAQs

How many JEE Main questions have been asked from Permutations And Combinations?

EByAi's bank holds 198 real JEE Main questions from Permutations And Combinations, asked between 2016 and 2026 — about 18 per year on average. Every count is measured from actual papers, not estimated.

Is Permutations And Combinations important for JEE Main?

198 questions over 11 papers make Permutations And Combinations a moderate-weightage chapter in JEE Main Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Permutations And Combinations PYQs online for free?

Yes. EByAi lets you solve JEE Main past-year questions in the browser with written solutions — free daily practice, no card needed.

More JEE Main Mathematics chapters

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