Combinatorics
Counting techniques, pigeonhole, recurrences and elementary graph theory.
Test yourself on Combinatorics
5 real IOQM questions with instant answers — no signup, ~3 minutes.
Study notes are still being prepared.
Don't wait — Shishya can teach you this topic right now, on demand.
Ask Shishya to teach this →Need more? Ask Shishya
Shishya is your personal tutor for this topic. Pick a starter or open a free chat.
- Go deeper on this topicGo deeper on Combinatorics for IOQM — examples and edge cases I should know.
- Show me exam shortcutsGive me 3 fastest shortcuts to solve Combinatorics questions in the exam.
- What mistakes should I avoid?What are the most common mistakes students make on Combinatorics? How do I avoid them?
- Quiz me adaptivelyQuiz me on Combinatorics — start with one easy question, then go harder based on how I answer.
Practice this topic
Take a full mock →Q1 · Combinatorics · HARD
How many ways can we arrange the letters of the word EQUATION so that no two vowels are adjacent?
Q2 · Combinatorics · EASY
In how many ways can 5 identical red balls and 3 identical blue balls be arranged in a row?
Q3 · Combinatorics · MEDIUM
In how many ways can 5 boys and 4 girls be arranged in a row such that no two girls sit together?
Q4 · Combinatorics · HARD
How many 4-digit numbers can be formed using digits 1, 2, 3, 4, 5, 6 (without repetition) such that the number is divisible by 4?
Q5 · Combinatorics · MEDIUM
In how many ways can the letters of the word OLYMPIAD be arranged such that the vowels O, I, A occupy even positions?