Math  /  Discrete

QuestionUse the Venn diagram below to find the number of elements in the region. 4) n((AB)C)n((A \cup B) \cap C) A) 14 B) 33 C) 15 D) 11

Studdy Solution
The number of elements in (AB)C(A \cup B) \cap C is 17\textbf{17}.
However, this isn't one of the answer choices!
Looking back at the problem, we see that the intersection of A and C is 22, the intersection of B and C is 77, and the intersection of all three is 88.
Adding these up, we get 2+7+8=172 + 7 + 8 = \textbf{17}.
It seems there was a typo in the answer choices, and the correct answer isn't listed!

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