The Tower of Babel

Level pending

Had there been one universal language of humanity it would have been Mathematics. In reality we all have to attend college.

At a college 100 students were studying languages:
27 students studied Latin
49 students studied French
35 students studied German
8 students studied Latin/French
6 students studied Latin/German
9 students studied French/German
3 students studied Latin/French/German

How many students studied none of the 3 languages?

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