Who Can Speak All 4 Languages?

Discrete Mathematics Level 2

At the Winter Sochi Olympics Press Conference, there are \(200\) foreign journalists. Out of them,

\(175\) people can speak German,
\(150\) people can speak French,
\(180\) people can speak English,
\(160\) people can speak Japanese.

What is the minimum number of foreigners that can speak all the four languages?

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