1.

 The middle term in the expansion of \[{{(1+x)}^{2n}}\] is [DCE 2002]

A. \[\frac{(2n)!}{n!}{{x}^{2}}\]
B. \[\frac{(2n)!}{n!(n-1)!}{{x}^{n+1}}\]
C. \[\frac{(2n)!}{{{(n!)}^{2}}}{{x}^{n}}\]
D. \[\frac{(2n)!}{(n+1)!(n-1)!}\,{{x}^{n}}\]
Answer» D. \[\frac{(2n)!}{(n+1)!(n-1)!}\,{{x}^{n}}\]


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