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Saturday, 31 October

JEE Main · Maths · Permutations and Combinations

Permutations with Repetition

JEE Main asked Permutations with Repetition 11 times in 11 of the 108 shifts Lumi analysed, in 2020, 2021, 2022 and 2023. It belongs to Permutations and Combinations (Maths). The longest wait between two years asking it was 1 year. In 2020, 2021, 2022 and 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
11
in 11 shifts
Years
4 of 8
First asked
2020
last in 2023
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.17’200.14’210.11’220.14’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 4 in 24 shifts · 2022: 3 in 24 shifts · 2023: 2 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20240 of 18
  • 20232 of 12
  • 20223 of 24
  • 20214 of 24
  • 20202 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Count words with one letter repeated
  • Count ways to reach target score in exam

Difficulty

Easy 1Medium 9Hard 1

8 of the 11 questions had a numerical answer.

Every question

All 11 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 15 Apr 2023, Shift 1 · Q6The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits is…MediumSingle correct
  2. 13 Apr 2023, Shift 1 · Q5The number of symmetric matrices of order 3, with all the entries from the set {0,1,2,3,4,5,6,7,8,9}\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}, isEasySingle correct
  3. 24 Jun 2022, Shift 1 · Q22In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each…MediumNumerical value
  4. 29 Jul 2022, Shift 2 · Q24The 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…MediumNumerical value
  5. 26 Jul 2022, Shift 1 · Q22The number of 5-digit natural numbers, such that the product of their digits is 36, is __________.MediumNumerical value
  6. 26 Feb 2021, Shift 2 · Q73A seven digit number is formed using digits 3,3,4,4,4,5,53, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 22, is :MediumSingle correct
  7. 4 Aug 2021, Shift 1 · Q83Each of the numbers 1, 0, -1 is written on two different opposite faces of a six foces fair die. This die is thrown three times. The…MediumNumerical value
  8. 3 Aug 2021, Shift 2 · Q82If six letter words (with or without meaning) are formed using A, B, C, D, E and F, then the number of words, in which exactly one of…MediumNumerical value
  9. 3 Aug 2021, Shift 1 · Q83If the number of permutations of the word “STATISTICS” in which all ‘S’ do not come together, is (56)2k(56)^2 k, then ‘kk’ is equal to…MediumNumerical value
  10. 5 Sep 2020, Shift 1 · Q71The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ‘SYLLABUS’…MediumNumerical value
  11. 8 Jan 2020, Shift 2 · Q71The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word ‘EXAMINATION’ is __________.HardNumerical value

Shifts: 8 Jan 2020, Shift 2, 5 Sep 2020, Shift 1, 26 Feb 2021, Shift 2, 3 Aug 2021, Shift 2, 3 Aug 2021, Shift 1, 4 Aug 2021, Shift 1, 24 Jun 2022, Shift 1, 26 Jul 2022, Shift 1, 29 Jul 2022, Shift 2, 13 Apr 2023, Shift 1, 15 Apr 2023, Shift 1.

Same topic

Other ideas in Permutations and Combinations

Permutations and Combinations has 33 ideas JEE Main has asked; 20 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas