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BITSAT2022MathematicsBinomial TheoremActual

If the sum of the coefficients in the expansion of (x+y)^n is 1024 , then the value of the greatest coefficient in the expansion is

Options

  1. A356
  2. B252
  3. C210
  4. D120

Correct answer

B. 252

Step-by-step solution

Given, sum of the coefficient =1024 array ll i.e. & 2^n=1024=2¹⁰ & n=10 array Since, n is even, so greatest coefficient = ^n C_ n / 2 = ¹⁰ C₅=252

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