Could you please tell me if these sentences are correct and the same?
How much luggage do you have?
- I don't have any.
- I don't have any luggage.
- I don't have anything.
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In answer to that specific question, all three are grammatical, but #1 is the most natural, #2 is slightly unnatural because it is needlessly long (short answers are preferred), and #3 is definitely the most unnatural and should be avoided. Anything is too general a word to use in response to such a specific question. Another natural answer would be none: brief and to the point.
It depends upon the question, as in the question:
A common noun is used, luggage, which is simply referring to something that we can count. So any and anything are both correct for it.
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