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Randomizing Strings In A Microservices World

On 12/10/19 10:36 AM, Peter Pearson wrote:
> Just to be sure: you *are* aware that the "Birthday Paradox" says
> that if you pick your 10-digit strings truly randomly, you'll probably
> get a collision by the time of your 10**5th string . . . right?

I did not consider this, but the point is taken.

Could you kindly point me to a source for calculating this given
n-digit numeric-only strings?