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Question Number 9421 by 8168 last updated on 07/Dec/16

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

Answered by sandy_suhendra last updated on 08/Dec/16

$$\mathrm{if}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{coefficients}=4096$$$$\mathrm{so}{2}^{\mathrm{n}}=4096\Rightarrow \mathrm{n}=12$$$$\mathrm{the}\mathrm{greatest}\mathrm{coefficient}\mathrm{will}\mathrm{be}=12\mathrm{C}6=924$$

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