Class 11 Mathematics — Chapter 7: Permutations and Combinations
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 11 Mathematics Chapter 7, "Permutations and Combinations", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Permutations and Combinations" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Permutations and Combinations, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Permutations and Combinations (Class 11 Mathematics)
This chapter covers counting techniques — the fundamental principle of counting, permutations (arrangements) and combinations (selections).
- Fundamental principle of counting
- If one event can occur in m ways and another in n ways, both can occur in m×n ways.
- Factorial
- n! = n×(n−1)×…×1, with 0! = 1; the basis of permutation and combination formulae.
- Permutations
- Ordered arrangements: nPr = n!/(n−r)!; order matters.
- Combinations
- Selections without regard to order: nCr = n!/[r!(n−r)!]; order does not matter.
- Relation
- nPr = nCr × r!; also nCr = nC(n−r).
Key formulas — Permutations and Combinations
💡 Exam tips for Permutations and Combinations
- Ask: does order matter? Yes → permutation (nPr); No → combination (nCr).
- Use nCr = nC(n−r) to simplify when r is close to n.
Sample questions
Value of 5! is:
5·4·3·2·1=120.
P(5,2) =
5·4=20.
Number of arrangements of n distinct objects in a circle:
Fix one position (rotational symmetry).
Permutations and Combinations — FAQs
What are the key concepts in Class 11 Mathematics Permutations and Combinations?+
This chapter covers counting techniques — the fundamental principle of counting, permutations (arrangements) and combinations (selections). Key ideas include Fundamental principle of counting, Factorial, Permutations, Combinations, Relation.
What does Class 11 Mathematics Chapter 7 (Permutations and Combinations) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Permutations and Combinations" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Permutations and Combinations" questions free to practise?+
Yes — sign in with Google to practise "Permutations and Combinations" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Permutations and Combinations" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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