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Let a bag contain ten balls numbered $1,2, \ldots, 10$. Let three balls be drawn at random in sequence without replacement, and the number on the ball drawn on the $i^{\text {th }}$ choice be $n_{i} \in\{1,2, \ldots, 10\}.$ What is the probability that $n_{1} < n_{2} < n_{3} ?$

  1. $\frac{1}{3}$
  2. $\frac{1}{12}$
  3. $\frac{1}{4}$
  4. $\frac{1}{6}$
  5. None of the above
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