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BITSAT2021MathematicsBinomial TheoremActual

Coefficient of x¹³ in the expansion of (1-x)⁵ (1+x+x²+x³ )⁴ is

Options

  1. A4
  2. B6
  3. C32
  4. D5

Correct answer

A. 4

Step-by-step solution

Expression =(1-x)⁵ (1+x)⁴ (1+x² )⁴ array l =(1-x) (1-x² )⁴ (1+x² )⁴ =(1-x) (1-x⁴ )⁴ array Coefficient of x¹³=- ⁴ C ₃(-1)³=4

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