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If (1+x)^(n) = c(0) + C(1)x+C(2)x^(2)+"…...

If `(1+x)^(n) = c_(0) + C_(1)x+C_(2)x^(2)+"….."+X_(n)x^(n), m ge 2`
`C_(0) - C_(1)+C_(2) - "……"+(-1).^(m-1)C_(m-1) = (-1)^(m-1).^(n-1)C_(m-1)`.

A

`(-1)^(m-1).^(n-1)C_(m-1)`

B

`(-1)^(m-1).^(n)C_(m-1)`

C

`(-1)^(m-1).^(n-1)C_(n-m)`

D

`(1)^(m-1).^(n)C_(n-m)`

Text Solution

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The correct Answer is:
A
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