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NDA2017MathematicsBinomial TheoremActual

The number of terms in the expansion of (x+a)¹⁰⁰+(x-a)¹⁰⁰ after simplification is

Options

  1. A202
  2. B101
  3. C51
  4. D50

Correct answer

C. 51

Step-by-step solution

(x+a)¹⁰⁰+(x-a)¹⁰⁰ Simple logic is we get ^n c₀, ^n c₂, ^n c₄ . ^n c₁₀₀ in this expansion. The number of terms from n _ c ₀ to n _ c ₁₀₀ are 51 There are 51 terms.

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