In a lottery,a person chooses six different natural numbers at random from $1$ to $20$. If these six numbers match the six numbers already fixed by the lottery committee,he wins the prize. What is the probability of winning the prize in the game? [Hint: The order of the numbers is not important.]

  • A
    $\frac{1}{38760}$
  • B
    $\frac{1}{19380}$
  • C
    $\frac{1}{77520}$
  • D
    $\frac{6}{38760}$

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