SOLUTION: Six distinct integers are picked from the set {1, 2, 3,…, 10}. What is the probability that among those selected, the second smallest is 3?

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Question 1089030: Six distinct integers are picked from the set {1, 2, 3,…, 10}. What is the probability that among those selected, the second smallest is 3?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
So then those sets would look like {1,3,....} and {2,3,...}.
The remaining four integers would be chosen from the remaining 7 integers since they have to be greater than 3.
possible choices and since there are two sets with the choices,

The number of choices would be,

So then the probability is,


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