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1986 AMC 12 Question 22

AMC12 · 1986 AMC 12

Question 22

Six distinct integers are picked at random from $\{1,2,3,\ldots,10\}.$ What is the probability that, among those selected, the second smallest is $3?$
  1. $\frac1{60}$
  2. $\frac16$
  3. $\frac13$
  4. $\frac12$
  5. none of these