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If x^n occurs in the expansion (x+1//x^2...

If `x^n` occurs in the expansion `(x+1//x^2)^n` , then the coefficient of `x^m` is `((2n)!)/((m)!(2n-m)!)` b. `((2n)!3!3!)/((2n-m)!)` c. `((2n)!)/(((2n-m)/3)!((4n+m)/3)!)` d. none of these

A

`((4n)!)/(((4n-m)/(3) )!.((8n+m)/( 3))!)`

B

`((4n)!)/(n!(4n-m)!)`

C

`((4n)! 3! 3!)/( (4n-3)!)`

D

None of these

Text Solution

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The correct Answer is:
A
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