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Saturday, 31 October

JEE Main · Maths · Permutations and Combinations

Division of Objects into Groups

JEE Main asked Division of Objects into Groups 3 times in 3 of the 108 shifts Lumi analysed, in 2021, 2024 and 2026. It belongs to Permutations and Combinations (Maths). The longest wait between two years asking it was 3 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2021
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2024 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.03’210’220’230.05’240’250.11’26

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

Shift by shift

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

  • 20261 of 9
  • 20250 of 8
  • 20241 of 18
  • 20230 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: application.

  • Count distributions of people to floors
  • Partition set into equal labelled groups

Difficulty

Easy 0Medium 2Hard 1

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 6 Apr 2026, Shift 2 · Q7A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th^{\text{th}}…MediumSingle correct
  2. 5 Apr 2024, Shift 2 · Q1Let the set S={2,4,8,16,…,512}S=\{2, 4, 8, 16, \ldots, 512\} be partitioned into 3 sets A,B,CA, B, C with equal number of elements such that…MediumSingle correct
  3. 24 Feb 2021, Shift 2 · Q85The students S1,S2,….,S10\mathrm{S_1, S_2, \ldots., S_{10}} are to be divided into 3 groups A, B and C such that each group has at least one student…HardNumerical value

Shifts: 24 Feb 2021, Shift 2, 5 Apr 2024, Shift 2, 6 Apr 2026, Shift 2.

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