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If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2...

If `(1+x)^(n) = C_(0) + C_(1) xm + C_(2)x^(2) + "……" + C_(n)x^(n)`, then
`C_(0)C_(1) + C_(1)C_(2) + C_(2)C_(3) + "……" + C_(n-1)C_(n)` is equal to :

A

`((2n)!)/(n!)^(2)`

B

`((2n)!)/((n-1)!(n+1)!)`

C

`((2n)!)/((n-2)!(n+2)!)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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