Sum of the coefficients in the expansion of $(5 x - 4 y)^{n}$ where $n$ is a positive integer is

1

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9^{n}

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(- 1)^{n}

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5^{n}

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Solution

The correct option is A $1$
Substituting $x = 1$ and $y = 1$ in the above expression we get the sum of the binomial coefficients as
$(5 x - 4 y)^{n}$
$= (5 - 4)^{n}$ (substituting x=1 and y=1)
$= (1)^{n}$
$= 1$
Hence, answer is $A .$

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