Permutations & Combinations MCQs (NCERT Class 11 Maths)
Permutations & Combinations MCQs (NCERT Class 11 Maths)
Class: 11 | Subject: Mathematics | Section: Algebra
Topic: Permutations & Combinations – NCERT Based Practice Questions
Aligned with CBSE Board Examination Standard
Topic: Permutations & Combinations – NCERT Based Practice Questions
Aligned with CBSE Board Examination Standard
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination practice. Each question includes a detailed concept‑clearing explanation.
1. nPr represents:
Answer: B
Explanation: Permutation considers arrangement/order.
Explanation: Permutation considers arrangement/order.
2. nCr represents:
Answer: B
Explanation: Combination ignores order.
Explanation: Combination ignores order.
3. Formula of nPr:
Answer: B
Explanation: Permutation formula.
Explanation: Permutation formula.
4. Formula of nCr:
Answer: C
Explanation: Combination formula.
Explanation: Combination formula.
5. Value of 5!:
Answer: C
Explanation: 5×4×3×2×1=120.
Explanation: 5×4×3×2×1=120.
6. 0! equals:
Answer: B
Explanation: Defined as 1.
Explanation: Defined as 1.
7. If order matters, use:
Answer: B
Explanation: Arrangement counted.
Explanation: Arrangement counted.
8. If order not matters, use:
Answer: B
Explanation: Selection only.
Explanation: Selection only.
9. 5P2 equals:
Answer: B
Explanation: 5×4=20.
Explanation: 5×4=20.
10. 5C2 equals:
Answer: A
Explanation: 5!/(2!3!)=10.
Explanation: 5!/(2!3!)=10.
11. nCn equals:
Answer: B
Explanation: Only one way.
Explanation: Only one way.
12. nC0 equals:
Answer: B
Explanation: Selecting nothing.
Explanation: Selecting nothing.
13. Relation between nCr & nPr:
Answer: A
Explanation: Multiply by factorial.
Explanation: Multiply by factorial.
14. Arrangements of 3 letters from ABC:
Answer: B
Explanation: 3!=6.
Explanation: 3!=6.
15. Selections of 2 from 4:
Answer: A
Explanation: 4C2=6.
Explanation: 4C2=6.
16. Factorial grows:
Answer: B
Explanation: Multiplicative growth.
Explanation: Multiplicative growth.
17. Circular permutation formula:
Answer: A
Explanation: Rotation identical.
Explanation: Rotation identical.
18. Repetition allowed permutations:
Answer: A
Explanation: Each position choices.
Explanation: Each position choices.
19. Combination always ≤ permutation because:
Answer: A
Explanation: Fewer outcomes.
Explanation: Fewer outcomes.
20. Choosing committee uses:
Answer: B
Explanation: Order irrelevant.
Explanation: Order irrelevant.