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For a positive integer $n$ if the mean of the binomial coefficients in the expansion of $(a + b)^{2 n - 3}$ is 16, then $n$ is equal to :

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Correct option is A

Mean of binomial coefficients in the expansion of (a+b)2n−3 is 12n−3+1 2n−3C0+2n−3C1+…+2n−3C2n−3=12(n−1)22n−3=22(n−2)n−1=16=24⇒n=5

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For a positive integer n if the mean of the binomial coefficients in the expansion of (a+b)2n−3 is 16, then n is equal to :

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For a positive integer $n$ if the mean of the binomial coefficients in the expansion of $(a + b)^{2 n - 3}$ is 16, then $n$ is equal to :