The vertices of a regular tetrahedron are marked $1, 2, 3, 4$. If three such tetrahedra are thrown simultaneously,what is the probability that the sum of the numbers on the faces is $5$?

  • A
    $\frac{5}{24}$
  • B
    $\frac{5}{64}$
  • C
    $\frac{3}{32}$
  • D
    $\frac{3}{16}$

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