We have three sets A, B and C. We know the following cardinalities: |A \ (B U C)| = 3 |B\ (A U C)| = 7 |C\ (A U B)| = 5 |(An B) \ C[ = 2 |(A n C) \ B| = 1 |(B n C) \ A| = 6 |An Bn C| = 9 %3D Let X = (A \ C) U (B \ C) U (C \ (A U B). The symbol \ denotes set difference. The symbol n denotes set intersection. The symbol U denotes set union. What is the cardinality of the set X? That is, how many elements are there in X?

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