The probability of hitting a target by three marksmen are $\frac{1}{2},\,\frac{1}{3}$ and $\frac{1}{4}$ respectively. The probability that one and only one of them will hit the target when they fire simultaneously, is

  • A

    $\frac{{11}}{{24}}$

  • B

    $\frac{1}{{12}}$

  • C

    $\frac{1}{8}$

  • D

    None of these

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