Q56 / 120 · VITEEE 2011 · Mathematics

The sum of the coefficients of $(6 a-5 b)^{n}$, where $n$ is a positive integer, is

Correct answer
A
1
B
$-1$
C
$2^{n}$
D
$2^{n-1}$

Solution

For the sum of the coefficients in the expansion of $(6 a-5 b)^{n}$, put $a=b=1$ $\therefore$ Sum of the coefficients $=(6-5)^{\mathrm{n}}$ $$ =1^{\mathrm{n}}=1 $$

Hence, the correct answer is option: 'A'.

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