Cardinality properties:
Suppose you have three sets A, B, and C, satisfying the following conditions:
\( \# (A\cap B)=11 \)
\( \# (A\cap C)=12\)
\( \# (A\cap B \cap C)=5\)
What is the minimun cardinality of set A?

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I thought that it would be (11 - 5) + (12 - 5) = 13

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