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Find the Cardinal Number of the Set Find n(U)n ( U )

Question 222

Multiple Choice

Find the cardinal number of the set.
-Given:
n(A) =80n(B) =88n(C) =82n(AB) =16n(AC) =18n(BC) =12n(ABC) =10n(ABC) =161\begin{aligned}\mathrm { n } ( \mathrm { A } ) & = 80 \\\mathrm { n } ( \mathrm { B } ) & = 88 \\\mathrm { n } ( \mathrm { C } ) & = 82 \\\mathrm { n } ( \mathrm { A } \cap \mathrm { B } ) & = 16 \\\mathrm { n } ( \mathrm { A } \cap \mathrm { C } ) & = 18 \\\mathrm { n } ( \mathrm { B } \cap \mathrm { C } ) & = 12 \\\mathrm { n } ( \mathrm { A } \cap \mathrm { B } \cap \mathrm { C } ) & = 10 \\\mathrm { n } \left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \cap \mathrm { C } ^ { \prime } \right) & = 161\end{aligned}
Find n(U) n ( U )
 Find the cardinal number of the set. -Given:  \begin{aligned} \mathrm { n } ( \mathrm { A } )  & = 80 \\ \mathrm { n } ( \mathrm { B } )  & = 88 \\ \mathrm { n } ( \mathrm { C } )  & = 82 \\ \mathrm { n } ( \mathrm { A } \cap \mathrm { B } )  & = 16 \\ \mathrm { n } ( \mathrm { A } \cap \mathrm { C } )  & = 18 \\ \mathrm { n } ( \mathrm { B } \cap \mathrm { C } )  & = 12 \\ \mathrm { n } ( \mathrm { A } \cap \mathrm { B } \cap \mathrm { C } )  & = 10 \\ \mathrm { n } \left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \cap \mathrm { C } ^ { \prime } \right)  & = 161 \end{aligned}  Find  n ( U )      A)  385 B)  375 C)  214 D)  294


A) 385
B) 375
C) 214
D) 294

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