The coefficient of $x^{1012}$ in the expansion of ${\left( {1 + {x^n} + {x^{253}}} \right)^{10}}$ , (where $n \leq 22$ is any positive integer), is

  • [JEE MAIN 2014]
  • A

    $1$

  • B

    $^{10}{C_4}$

  • C

    $4n$

  • D

    $^{253}{C_4}$

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