Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralMedium2 minPYQ_2022

MathematicsMediumsingle choice

If the sum of the coefficients in the expansion of $(x + y)^{n}$ is 1024 , then the value of the greatest coefficient in the expansion is

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Answer:

Solution:

Given, sum of the coefficient $= 1024$ $i.e. \Rightarrow 2^{n} = 1024 = 2^{10} n = 10$ Since, $n$ is even, so greatest coefficient $=^{n} C_{n /2} =^{10} C_{5} = 252$

Stream:BITSATSubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2022

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