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Question

If the sum of the coefficients in the expansion of (a+b)n is 4096, then the greatest coefficient in the expansion is .
  1. 1594
  2. 792
  3. 924
  4. 2924


Solution

The correct option is C 924
Sum of coefficients in the expansion of (a+b)n is equal to 2n
We have 2n=4096=212n=12;
So, middle term is t7
t7=t6+1= 12C6=12!6!6!=924.

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