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COMEDK2024MathematicsBinomial Theorem

The coefficient of x²⁴ in the expansion of (1-x^5 )¹⁰ is

Options

  1. A0
  2. B¹⁰ C₅
  3. C¹⁰ C₄
  4. D110

Correct answer

A. 0

Step-by-step solution

aligned & General term of (x+y)^n= ^n C_r(x)^ n-r (y)^r & T_ r+1 = ¹⁰ C_r(1)^ 10-r (-x^5 )^r= _ ¹⁰ C_r(-1)^r(x)^ 5 r & 5 r=24 r=4.8 aligned r cannot be in fraction means no such terms are possible. Coefficient of x²⁴=0

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