The following table shows the results of a survey of authors by a fictitious publishing company. $$\begin{array} { | l | l | l | l | }
\hline & \text { New Authors } & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 6 & 24 & 30 \
\hline \text { Unsuccessful } & 13 & 58 & 71 \
\hline \text { Total } & 19 & 82 & 101 \
\hline
\end{array}$$ Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. Find the number of elements that set $C \cap N ^ { \prime }$ contains.

A)11
B) 82
C) 58
D) 24
E) 6

Question

The following table shows the results of a survey of authors by a fictitious publishing company. $$\begin{array} { | l | l | l | l | } 
\hline & \text { New Authors } & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 6 & 24 & 30 \
\hline \text { Unsuccessful } & 13 & 58 & 71 \
\hline \text { Total } & 19 & 82 & 101 \
\hline
\end{array}$$   Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. Find the number of elements that set $C \cap N ^ { \prime }$ contains.
 
A)11
B) 82
C) 58
D) 24
E) 6

Quizplus · Accepted Answer

$C \cap N ^ { \prime }$ represents the intersection of successful authors and not new authors, which means successful established authors. The table shows there are 24 successful established authors.

The Following Table Shows the Results of a Survey of Authors