Eduprobe
Question:
The coefficient of t⁴ in the expansion of (1 - t⁶)/(1 - t)³ is:
15
10
14
12
Solution:
The correct option is B
15(1 - t⁶)³(1 - t)⁻³
(1 - 3t⁶ + 3t¹²)(1 - t)⁻³
→coefficient of t⁴ in (1 - t)⁻³ is ³⁺⁴⁻¹C₄ = ⁶C₂ = 15
15
10
14
12
The correct option is B
15(1 - t⁶)³(1 - t)⁻³
(1 - 3t⁶ + 3t¹²)(1 - t)⁻³
→coefficient of t⁴ in (1 - t)⁻³ is ³⁺⁴⁻¹C₄ = ⁶C₂ = 15