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The sum of the binomial coefficients of ...

The sum of the binomial coefficients of `[2x+1/x]^n` is equal to `256.` The constant term in the expansion is: (A) 1120 (B) 2110 (C) 1210 (D) none

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Suppose `(r+1)` th tem in the given expansion is independent of `x`.
Then, we have
`T_{r+1}=\ ^{n} C_{r}(2 x)^{n-r}(frac{1}{x})^{r} `
`=\ ^{n} C_{r} 2^{n-r} x^{n-2 r}`
...
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