In a school, the average age of students is $6 \, \text{years}$, and the average age of $12$ teachers is $40 \, \text{years}$. If the average age of the combined group of all the teachers and students is $7 \, \text{years}$, then the number of students is?

  • A
    $396$
  • B
    $400$
  • C
    $408$
  • D
    $416$

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