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Question 280015
JEE Mathematics · Hard

Binomial Theorem: Mixed MCQ

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MixedHardQuestion 280015

Question

The greatest binomial coefficient in (1+x)¹⁰ is:
  1. A
    ¹⁰C₅ = 252
    Correct
  2. B
    ¹⁰C₁ = 10
  3. C
    ¹⁰C₄ = 210
  4. D
    ¹⁰C₁₀ = 1

Correct answer

¹⁰C₅ = 252

Explanation

For even n, the middle term has the greatest binomial coefficient. For n=10, middle term index = n/2 = 5. ¹⁰C₅ = 252 is the maximum binomial coefficient.

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