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BITSAT2014MathematicsBinomial TheoremActual

The coefficient of x ⁴ in the expansion of (1+x+x²+x³ )¹¹, is

Options

  1. A440
  2. B770
  3. C990
  4. D1001

Correct answer

C. 990

Step-by-step solution

We have coefficient of x⁴ in (1+x+x²+x³ )¹¹ array l = coefficient of x ⁴ in (1+ x ² )¹¹(1+ x )¹¹ = coefficient of x ⁴ in (1+ x )¹¹+ coefficient of x ² in 11. (1+ x )¹¹+ constant term is ¹¹ C ₂ (1+ x )¹¹ = ¹¹ C ₄+11 . ¹¹ C ₂+ ¹¹ C ₂=990 array

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