The greatest coefficient in the expansion of \[{{(1+x)}^{2n+2}}\] is [BIT Ranchi 1992]

\[\frac{(2n+2)!}{{{\{(n+1)!\}}^{2}}}\]

The greatest coefficient in the expansion of \[{{(1+x)}^{2n+2}}\] is

1.	The greatest coefficient in the expansion of \[{{(1+x)}^{2n+2}}\] is [BIT Ranchi 1992]
A.	\[\frac{(2n)!}{{{(n!)}^{2}}}\]
B.	\[\frac{(2n+2)!}{{{\{(n+1)!\}}^{2}}}\]
C.	\[\frac{(2n+2)!}{n!(n+1)!}\]
D.	\[\frac{(2n)!}{n!(n+1)!}\]
Answer» C. \[\frac{(2n+2)!}{n!(n+1)!}\]

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The greatest coefficient in the expansion of \[{{(1+x)}^{2n+2}}\] is [BIT Ranchi 1992]

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