Permutations and Combinations
CBSE · Class 11 · Mathematics
Step-by-step guide to study Permutations and Combinations in CBSE Class 11 Mathematics. Topics to cover, practice strategy, and time allocation.
Interactive on Super Tutor
Studying Permutations and Combinations? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for study plan and more.
1,000+ Class 11 students started this chapter today
Study Plan
Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.
Practice Problems
Solve textbook exercises and additional practice questions. There are 127 questions available for this chapter.
Revise & Test
Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.
Spaced Revision
Revisit Permutations and Combinations after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.
What to Focus On
- Order of events matters in multiplication principle.
- The principle works for two events and extends to any finite number of events.
- This principle is the base of all counting in permutations and combinations.
- Permutation means arrangement in order.
- Factorial notation shortens counting expressions.
- 0! is a defined value, not derived.
- Repeated letters reduce the number of distinct permutations.
- Use factorial division to remove overcounting caused by identical objects.
- If some objects must stay together, treat them as a single block first.
Common Mistakes to Avoid
Permutation and combination are the same thing.
When digits are repeated, use nPr as usual.
0! should be found by ordinary multiplication like other factorials.
Memory Tips
Fundamental principle of counting
Generalisation of multiplication principle to three events
Permutation means order matters
Combination means order does not matter
Want a personalised study plan?
Super Tutor creates a day-by-day plan for CBSE Class 11 Mathematics that adapts to your exam date and pace.
Create My Study Plan — FreeFrequently Asked Questions
What are the important topics in Permutations and Combinations for CBSE Class 11 Mathematics?
How to score full marks in Permutations and Combinations — CBSE Class 11 Mathematics?
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Permutations and Combinations
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Permutations and Combinations chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 11 Mathematics.