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Let \(A\text{,}\) \(B\text{,}\) and \(C\) be sets.

  1. Find \(\card{(A \cup C)\setminus B}\) provided \(\card{A} = 50\text{,}\) \(\card{B} = 45\text{,}\) \(\card{C} = 40\text{,}\) \(\card{A\cap B} = 20\text{,}\) \(\card{A \cap C} = 15\text{,}\) \(\card{B \cap C} = 23\text{,}\) and \(\card{A \cap B \cap C} = 12\text{.}\)

  2. Describe a set in terms of \(A\text{,}\) \(B\text{,}\) and \(C\) with cardinality 26.

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