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

Question 26

Multiple Choice

Find the cardinal number of the set.
-Given:
n(U) =213n(A) =72n(B) =92n(AB) =31n(AC) =34n(ABC) =16n(ABC) =45n(ABC) =54\begin{aligned}\mathrm { n } ( \mathrm { U } ) & = 213 \\\mathrm { n } ( \mathrm { A } ) & = 72 \\\mathrm { n } ( \mathrm { B } ) & = 92 \\\mathrm { n } ( \mathrm { A } \cap \mathrm { B } ) & = 31 \\\mathrm { n } ( \mathrm { A } \cap \mathrm { C } ) & = 34 \\\mathrm { n } ( \mathrm { A } \cap \mathrm { B } \cap \mathrm { C } ) & = 16 \\\mathrm { n } \left( \mathrm { A } ^ { \prime } \cap \mathrm { B } \cap \mathrm { C } ^ { \prime } \right) & = 45 \\\mathrm { n } \left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \cap \mathrm { C } ^ { \prime } \right) & = 54\end{aligned}
Find n(C) n ( C ) .
 Find the cardinal number of the set. -Given:  \begin{aligned} \mathrm { n } ( \mathrm { U } )  & = 213 \\ \mathrm { n } ( \mathrm { A } )  & = 72 \\ \mathrm { n } ( \mathrm { B } )  & = 92 \\ \mathrm { n } ( \mathrm { A } \cap \mathrm { B } )  & = 31 \\ \mathrm { n } ( \mathrm { A } \cap \mathrm { C } )  & = 34 \\ \mathrm { n } ( \mathrm { A } \cap \mathrm { B } \cap \mathrm { C } )  & = 16 \\ \mathrm { n } \left( \mathrm { A } ^ { \prime } \cap \mathrm { B } \cap \mathrm { C } ^ { \prime } \right)  & = 45 \\ \mathrm { n } \left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \cap \mathrm { C } ^ { \prime } \right)  & = 54 \end{aligned}  Find  n ( C )  .    A)  26 B)  76 C)  44 D)  42


A) 26
B) 76
C) 44
D) 42

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