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JEE Main 2022Mathematics Algebra

easy
mcq
2022
Official previous-year question

Verified 30 May 2026.

Question

The value of ¹⁰C₀ + ¹⁰C₁ + ¹⁰C₂ + ... + ¹⁰C₁₀ is:

Options

  1. A512
  2. B1024
  3. C2048
  4. D4096

Solution

Sum of all binomial coefficients = 2ⁿ. Here n = 10, so sum = 2¹⁰ = 1024

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