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Coefficient of alpha^(t) in the expansio...

Coefficient of `alpha^(t)` in the expansion of `(alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+…….+(alpha+q)^(m-1)`, where `alpha ne -q and p ne q` is

A

`(""^(m)C_(t)(t^(t)-q^(t)))/(p-q)`

B

`(""^(m)C_(t)(p^(m-1)-q^(m-1)))/(p-q)`

C

`(""^(m)C_(t)(p^(t)-q^(t)))/(p-q)`

D

`(""^(m)C_(t)(p^(m-t)+q^(m-t)))/(p-q)`

Text Solution

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The correct Answer is:
B
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