Counting & Arrangements in IOQM: previous year question analysis
Counting & Arrangements has appeared 56 times in IOQM between 2012 and 2025, making it the 1st most-asked of 14 chapters and about 15.7% of the bank. Over the last 5 years it has averaged 6.8 questions per year.
Total PYQs
56
Years covered
2012–2025
Weightage rank
#1 of 14
Share of bank
15.7%
How many Counting & Arrangements questions appeared each year
| Year | Questions | Relative volume |
|---|---|---|
| 2013 | 1 | |
| 2014 | 1 | |
| 2015 | 2 | |
| 2016 | 1 | |
| 2017 | 3 | |
| 2018 | 7 | |
| 2019 | 5 | |
| 2021 | 3 | |
| 2022 | 8 | |
| 2023 | 9 | |
| 2024 | 3 | |
| 2025 | 11 |
Which Counting & Arrangements sub-topics are asked most
Every question in this chapter is tagged to a sub-topic, so you can see exactly where the marks sit before you revise.
- derangements, exactly-k fixed points1 questions
- greatest integer function, counting integer solutions1 questions
- counting pairs by colour1 questions
- counting subset pairs by complementary counting1 questions
- choosing pairs of vertices1 questions
- double counting pairs (bipartite degree sum)1 questions
- multinomial coefficient extraction1 questions
- arrangements with adjacency restrictions1 questions
- counting triples under a polygon inequality1 questions
- ordered factorisations via distribution of prime exponents1 questions
Question formats used in Counting & Arrangements
- Numerical / integer answer56
How Counting & Arrangements compares with nearby chapters
- #1Counting & Arrangements56
- #2Triangles & Circles51
- #3Polynomials & Equations43
Counts are computed from AcadXL’s own IOQM question bank, tagged chapter- and sub-topic-wise and checked against official answer keys. Sign in to attempt the 56 Counting & Arrangements questions with solutions.