If the number of $5$-element subsets of the set $A = \{a_1, a_2, \dots, a_{20}\}$ of $20$ distinct elements is $k$ times the number of $5$-element subsets containing $a_4$,then $k$ is

  • A
    $5$
  • B
    $\frac{20}{7}$
  • C
    $4$
  • D
    $\frac{10}{3}$

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