In the expansion of ${(1 + x)^n}$ the sum of coefficients of odd powers of $x$ is

  • A

    ${2^n} + 1$

  • B

    ${2^n} - 1$

  • C

    ${2^n}$

  • D

    ${2^{n - 1}}$

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If  $\sum\limits_{K = 1}^{12} {12K{.^{12}}{C_K}{.^{11}}{C_{K - 1}}} $ is equal to $\frac{{12 \times 21 \times 19 \times 17 \times ........ \times 3}}{{11!}} \times {2^{12}} \times p$ then $p$ is