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Question 280003
JEE Mathematics · Easy

Binomial Theorem: Binomial coefficients MCQ

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Binomial coefficientsEasyQuestion 280003

Question

The sum of all binomial coefficients in (1 + x)ⁿ is:
  1. A
    2ⁿ
    Correct
  2. B
    n!
  3. C
    nCn/2
  4. D
    1

Correct answer

2ⁿ

Explanation

Setting x = 1 in (1+x)ⁿ = Σ ⁿCᵣ xʳ: (1+1)ⁿ = Σ ⁿCᵣ → 2ⁿ = ⁿC₀ + ⁿC₁ + ... + ⁿCₙ.

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