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Q.The coefficient of xnx^{n} in the expansion of 1(1x)(12x)(13x)\dfrac{1}{(1-x)(1-2x)(1-3x)} is

a
3n+12n+1+12\dfrac{3^{n+1} - 2^{n+1} + 1}{2}
b
n(n+1)2\dfrac{n(n+1)}{2}
c
2n+3n2^n + 3^n
d
6n+16^{n+1}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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