Learn

Saturday, 31 October

JEE Main · Maths · Permutations and Combinations

Permutations of Distinct Objects

JEE Main asked Permutations of Distinct Objects 10 times in 10 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
10
in 10 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.

00.10.20’170.17’200.10’210.11’220.14’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 3 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
  • 20213 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 permutations with consecutive condition
  • Count words with vowel and consonant constraints

Difficulty

Easy 2Medium 7Hard 1

7 of the 10 questions had a numerical answer.

Every question

All 10 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 · Q22A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7 and the…HardNumerical value
  2. 6 Apr 2023, Shift 2 · Q22The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the letters…MediumNumerical value
  3. 30 Jun 2022, Shift 1 · Q21The 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 __________.MediumNumerical value
  4. 29 Jun 2022, Shift 1 · Q30Let b1b2b3b4b_1b_2b_3b_4 be a 4-element permutation with bi∈{1,2,3,……,100}b_i \in \{1, 2, 3, \ldots\ldots, 100\} for 1≤i≤41 \le i \le 4 and bi≠bjb_i \ne b_j for…MediumNumerical value
  5. 25 Jun 2022, Shift 2 · Q27The total number of three-digit numbers, with one digit repeated exactly two times, is ____________.MediumNumerical value
  6. 25 Jul 2021, Shift 2 · Q63If nPr=nPr+1{}^nP_r={}^nP_{r+1} and nCr=nCr−1{}^nC_r={}^nC_{r-1}, then the value of r is equal to :EasySingle correct
  7. 25 Feb 2021, Shift 1 · Q84The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of digits is…MediumNumerical value
  8. 26 Aug 2021, Shift 1 · Q81The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is __________.EasyNumerical value
  9. 3 Sep 2020, Shift 1 · Q53The value of (2⋅1P0−3⋅2P1+4⋅3P2−…(2\cdot{}^1P_0-3\cdot{}^2P_1+4\cdot{}^3P_2-\ldots up to 51th51^{th} term)+(1!−2!+3!−…)+(1!-2!+3!-\ldots up to 51th51^{th} term)) is equal…MediumSingle correct
  10. 9 Jan 2020, Shift 1 · Q56If the number of five digit numbers with distinct digits and 2 at the 10th10^{\mathrm{th}} place is 336 k, then k is equal to :MediumSingle correct

Shifts: 9 Jan 2020, Shift 1, 3 Sep 2020, Shift 1, 25 Feb 2021, Shift 1, 25 Jul 2021, Shift 2, 26 Aug 2021, Shift 1, 25 Jun 2022, Shift 2, 29 Jun 2022, Shift 1, 30 Jun 2022, Shift 1, 6 Apr 2023, Shift 2, 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