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> uniquely identified by birthday, gender, and ZIP code

This is not correct; you need to say "full birthday" which includes the year, otherwise the statement is nonsense.

I'd still bet that month/day, gender, and zip code are enough to uniquely identify a very large number of people.

I don't see how that would work unless you're talking about ZIP+4 and not just a regular ZIP code. It would work for very sparsely-populated areas and extremely small towns, but most residents will share a ZIP code with thousands of others.

I assumed he meant day, month, and year.

> Note the distinction between birthday and birthdate

https://en.wikipedia.org/wiki/Birthday

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