If the sum of the coefficients in the expansion of (x + y)^(n) is 4096, then the greatest coefficient in the expansion is _____________.

(x + y)^(n) => 2^(n) = 40962^(10) = 1024 x 2 => 2^(n) = 2^(12)2^(11) = 2048n = 122^(12) = 4096^12C_6=12 x 11 x 10 x 9 x 8 x 7 / 6 x 5 x 4 x 3 x 2 x 1 \ = 11 x 3 x 4 x 7 = 924

If the sum of the coefficients in the expansion of x yn... | (Mathematics)

(x + y)ⁿ $\Rightarrow$ 2ⁿ = 4096

2¹⁰ = 1024 $\times$ 2

$\Rightarrow$ 2ⁿ = 2¹²

2¹¹ = 2048

n = 12

2¹² = 4096

${}^{12}{C_6}={{12 \times 11 \times 10 \times 9 \times 8 \times 7} \over {6 \times 5 \times 4 \times 3 \times 2 \times 1}} \\$

$= 11 \times 3 \times 4 \times 7$

$= 924$

Explanation

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