SOLUTION: Given |A| = |B| = |C| = 80, |A INT B| = 25,
|B INT C| = 30, |A INT B INT C| = 15, and
|A UNION B UNION C| = 175 elements.
|A INT C| = ?
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Question 370097: Given |A| = |B| = |C| = 80, |A INT B| = 25,
|B INT C| = 30, |A INT B INT C| = 15, and
|A UNION B UNION C| = 175 elements.
|A INT C| = ?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Use the formula:
|A U B U C| = |A| + |B| + |C| -|AB|- |BC| - |AC| + |ABC|. Substitute:
175 = 80+80+80-25-30-|AC|+15,
-25 = -|AC|, or
|AC| = 25.
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