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Uniqueness of generated values

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In general, are the generated values of fields such as SSN as unique as possible?

I realize that it is possible to run out values in any limited domain, so asking for more SSN's than 999,999,999 records would necessarily duplicate values in the generated output. However, if I ask for 999,999,998 records, for example, will they all be unique?

Does the same answer hold for other limited domains of values?


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