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

question 26

Multiple Choice

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

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