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Saturday, 31 October

JEE Main · Maths · Permutations and Combinations

The Block/Tie Method

JEE Main asked The Block/Tie Method 6 times in 6 of the 108 shifts Lumi analysed, in 2020, 2021, 2023 and 2026. It belongs to Permutations and Combinations (Maths). The longest wait between two years asking it was 3 years. In 2023 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 shifts
Years
4 of 8
First asked
2020
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

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

00.150.30’170.08’200.03’210’220.21’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 3 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20233 of 12
  • 20220 of 24
  • 20211 of 24
  • 20201 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: calculation.

  • Count arrangements with not-together restriction
  • Arrangements of word with letters not together

Difficulty

Easy 1Medium 4Hard 1

3 of the 6 questions had a numerical answer.

Every question

All 6 questions

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

  1. 4 Apr 2026, Shift 1 · Q8The number of ways, of forming a queue of 44 boys and 33 girls such that all the girls are not together, is:EasySingle correct
  2. 10 Apr 2023, Shift 1 · Q23The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neither contain the string 153 nor the string 2467, is…HardNumerical value
  3. 8 Apr 2023, Shift 2 · Q5If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not…MediumSingle correct
  4. 8 Apr 2023, Shift 1 · Q6The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together isMediumSingle correct
  5. 31 Aug 2021, Shift 1 · Q89The number of six letter words (with or without meaning), formed using all the letters of the word ‘VOWELS’, so that all the consonants…MediumNumerical value
  6. 6 Sep 2020, Shift 2 · Q72The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come…MediumNumerical value

Shifts: 6 Sep 2020, Shift 2, 31 Aug 2021, Shift 1, 8 Apr 2023, Shift 2, 8 Apr 2023, Shift 1, 10 Apr 2023, Shift 1, 4 Apr 2026, 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