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Topic: a combinatorial question
Replies: 4   Last Post: May 3, 2012 3:00 PM

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Posts: 139
Registered: 4/27/05
a combinatorial question
Posted: Apr 19, 2012 7:36 PM
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Although it seems elementary, I am not aware that standard textbooks
treat this problem.

There is a universal set U of N distinct objects. A fixed subset S of
n distinct objects is chosen from it (0 < n < N).

Another subset T of m (0 < m < N) distinct objects is then chosen from
U. The question is what is the probability distribution of the
cardinality of S intersection T. N may be considered to be infinity,
although m/N and n/N are not vanishingly small.

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