Ononot — Let A, B, C be three finite sets. Given n(A) = 20, n(B) = 25

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Set Theoryhard

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Let $A, B, C$ be three finite sets. Given $n(A) = 20$ , $n(B) = 25$ , $n(C) = 30$ . Also, $n(A \cap B) = 10$ , $n(A \cap C) = 12$ , and $n(B \cap C) = 15$ . What is the minimum possible value for $n(A \cup B \cup C)$ ?