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  • The sum of the binomial coefficients of <img alt="\left[2 \mathrm{x}+\frac{1}{\mathrm{x}}\right]^{\mathrm{n}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cleft%5B2%20%5Cmathrm%7Bx%7D&am

The sum of the binomial coefficients of \left[2 \mathrm{x}+\frac{1}{\mathrm{x}}\right]^{\mathrm{n}} is equal to 256. The constant term in the expansion is

Option: 1

1120


Option: 2

2110


Option: 3

1210


Option: 4

none


Answers (1)

best_answer

\left.\mathrm{C}_0+\mathrm{C}_1+\mathrm{C}_2+\ldots \ldots \ldots \mathrm{C}_{\mathrm{n}}=256 \Rightarrow 2^{\mathrm{n}}=2^8 \Rightarrow \mathrm{n}=8\right]

Hence the constant term will be 8C4

Posted by

Rishabh

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