If \[{{x}^{m}}\]occurs in the expansion of \[{{\left( x+\frac{1}{{{x}^{2}}} \right)}^{2n}},\]then the coefficient of \[{{x}^{m}}\] is [UPSEAT 1999]

\[\frac{(2n)!}{(m)!\,(2n-m)!}\]

\[\frac{(2n)!\,3!\,3!}{(2n-m)!}\]

\[\frac{(2n)!}{\left( \frac{2n-m}{3} \right)\,!\,\left( \frac{4n+m}{3} \right)\,!}\]

If \[{{x}^{m}}\]occurs in the expansion of \[{{\left( x+\frac{1}{{{x}^

1.	If \[{{x}^{m}}\]occurs in the expansion of \[{{\left( x+\frac{1}{{{x}^{2}}} \right)}^{2n}},\]then the coefficient of \[{{x}^{m}}\] is [UPSEAT 1999]
A.	\[\frac{(2n)!}{(m)!\,(2n-m)!}\]
B.	\[\frac{(2n)!\,3!\,3!}{(2n-m)!}\]
C.	\[\frac{(2n)!}{\left( \frac{2n-m}{3} \right)\,!\,\left( \frac{4n+m}{3} \right)\,!}\]
D.	None of these
Answer» D. None of these

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If \[{{x}^{m}}\]occurs in the expansion of \[{{\left( x+\frac{1}{{{x}^{2}}} \right)}^{2n}},\]then the coefficient of \[{{x}^{m}}\] is [UPSEAT 1999]

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