If I know:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]|A \cup B \cup C|[/itex] = 1000

[itex]|A|[/itex] = 344

[itex]|B|[/itex] = 572

[itex]|C|[/itex] = 296

[itex]|A \cap B|[/itex] = 301

[itex]|B \cap C|[/itex] = 252

[itex]|A \cap C|[/itex] = 213

and I use the standard formula to compute [itex]|A \cap B \cap C|[/itex], I get 554, which is absurd. Can someone tell me what's wrong here? Is there something inconsistent in the initial data we're given? If so, I can't find it...

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# What am I doing wrong on this simple cardinality of unions/intersections problem?

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