PU CSS 2026 Mathematical Induction and Binomial Theorem Free Quiz 2

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PU CSS 2026 Mathematical Induction and Binomial Theorem Free Quiz 2

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General 10 MCQs

11. What is ⁿC₀?

A. 1 B. 0 C. n D. 1/n

12. What is ⁿCₙ?

A. 0 B. 1 C. n D. 1/n

13. What is ⁿC₁?

A. 1 B. 0 C. n D. n²

14. What is the symmetry property of binomial coefficients?

A. ⁿCᵣ = ⁿPᵣ B. ⁿCᵣ = ⁿPᵣ/r! C. ⁿCᵣ = ⁿPᵣ × r! D. ⁿCᵣ = ⁿCₙ₋ᵣ

15. What is the general term in binomial expansion?

A. Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ B. Tᵣ = ⁿCᵣ aⁿ⁻ʳ bʳ C. Tᵣ₊₁ = ⁿPᵣ aⁿ⁻ʳ bʳ D. Tᵣ₊₁ = ⁿCᵣ aʳ bⁿ⁻ʳ

16. What is the middle term in (1 + x)⁵?

A. 3rd and 4th terms B. 3rd term C. 4th term D. 5th term

17. What is the 3rd term in (1 + x)⁵?

A. 5x² B. 10x³ C. 10x² D. 5x³

18. What is the 4th term in (1 + x)⁶?

A. 15x³ B. 20x⁴ C. 15x⁴ D. 20x³

19. What are binomial coefficients also known as?

A. Combinations B. Permutations C. Factorial D. Probability

20. What is the sum of odd binomial coefficients?

A. 2ⁿ B. 2ⁿ⁻¹ C. 2ⁿ⁻² D. 2ⁿ⁺¹

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