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JEE Main2002MathematicsBinomial TheoremActual

If the sum of the coefficients in the expansion of (a+b)^n is 4096 , then the greatest coefficient in the expansion is

Options

  1. A1594
  2. B792
  3. C924
  4. D2924

Correct answer

C. 924

Step-by-step solution

We have 2^n=4096=2¹² n=12 ; So middle term =t₇ ; t₇=t_ 6+1 = ¹² C₆= 12 ! 6 ! 6 ! =924

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