If $n$ is even positive integer, then the condition that the greatest term in the expansion of ${(1 + x)^n}$ may have the greatest coefficient also, is

  • A

    $\frac{n}{{n + 2}} < x < \frac{{n + 2}}{n}$

  • B

    $\frac{{n + 1}}{n} < x < \frac{n}{{n + 1}}$

  • C

    $\frac{n}{{n + 4}} < x < \frac{{n + 4}}{4}$

  • D

    None of these

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