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If x^(r) occurs in the expansion of (x+(...

If `x^(r)` occurs in the expansion of `(x+(1)/(x))^(n)`, then is coefficient is

A

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

B

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

C

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

D

`(n!)/([((r)/(2))!]^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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