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This is what Germans would call a milk maid calculation.

Your German would need to be really advanced for you to have a realistic chance with the degree.

Secondly the entry requirements to study law are really high (if you're German, you'd need to be a straight A student, not sure about foreigners).

There's also no way that you'd pay 280EUR in Munich for rent, even in a dorm or shared housing.

The luckiest guy I knew had a tiny student apartment for 500EUR.

If you aren't eating instant noodles all day, there's also no way you'll survive on the grocery budget.

A realistic food budget is 300EUR a month, even if you don't eat out.