Ronghua Zhang wrote:

>Suppose there exist N distinct objects, each time get n objects out
>of them(these n objects must be different) and then put them back,
>keep sampling for k rounds, and at last, what is the
>probability of at least x distinct objects have been
>selected at least once?

Look at the complementary event: what is the probability P 
that exactly N - x distinct objects have not been selected? 
Then the probability you seek is 1 - P .


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