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

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

A

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

B

`((2n)!3!3!)/((2n-m)!)`

C

`((2n)!)/(((2n-m)/(3))!((4n-m)/(3))!)`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
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