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Use a Venn Diagram and the Given Information to Determine

Question 40

Multiple Choice

Use a Venn Diagram and the given information to determine the number of elements in the indicated set.
- n(ABC) =157,n(ABC) =21,n(AB) =44,n(AC) =41,n(BC) =39,n(A) =106\mathrm{n}(\mathrm{A} \cup \mathrm{B} \cup \mathrm{C}) =157, \mathrm{n}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}) =21, \mathrm{n}(\mathrm{A} \cap \mathrm{B}) =44, \mathrm{n}(\mathrm{A} \cap \mathrm{C}) =41, \mathrm{n}(\mathrm{B} \cap \mathrm{C}) =39, \mathrm{n}(\mathrm{A}) =106 , n(B) =78n(B) =78 , and n(C) =76n(C) =76 . Find n(ABC) n\left(A^{\prime} \cap B \cap C\right)


A) 20
B) 19
C) 17
D) 18

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