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Brock Adams
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From the /questions doc:

...use the tagged parameter with a semi-colon delimited list of tags. This is an and contraint(sic), passing tagged=c;java will return only those questions with both tags...

(Emphasis added)

If you want questions that have either tag, use the /search route (or /search/advanced).

As for why the API sometimes differs from the website search, that has been asked a few times both here and elsewhere. For example, see Why is there a difference between "questions" and "search" in API?.

Brock Adams
  • 13k
  • 5
  • 39
  • 64