Math miscellaneousHard

Question

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

Options

A.1594
B.792
C.924
D.2924

Solution

We have 2n = 4096 = 212 ⇒ n = 12 ; So middle term = t7 ; t7 = t6+1 = 12C6 = = 924

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