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We have three sets A, B, C with the following properties: (a) |B|-2|A|, |C| - 31A, (b) An B-18, |AnC-20, |BnC| -24, (c) An

We have three sets A, B, C with the following properties: (a) |B|-2|A|, |C| - 31A, (b) An B-18, |AnC-20, |BnC| -24, (c) An BOC-11, (d) |AU BUC) - 129. Use the inclusion-exclusion principle to determine the number of elements in A. Show your work.

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