Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralMedium2 minPYQ_2002

MathematicsMediumsingle choice

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

Answer:

Solution:

We have $2^{n} = 4096 = 2^{12} \Rightarrow n = 12$ ; So middle term $= t_{7}; t_{7} = t_{6 + 1} =^{12} C_{6} = \frac{12 !}{6 ! 6 !} = 924$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2002

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