The greatest coefficient in the expansion of ${(1 + x)^{2n + 2}}$ is
The greatest coefficient in the expansion of ${(1 + x)^{2n + 2}}$ is
- A
$\frac{{(2n)!}}{{{{(n!)}^2}}}$
- B
$\frac{{(2n + 2)!}}{{{{\{ (n + 1)!\} }^2}}}$
- C
$\frac{{(2n + 2)!}}{{n!(n + 1)!}}$
- D
$\frac{{(2n)!}}{{n!(n + 1)!}}$
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