The Following Table Shows the Results of a Survey of Authors

question 145

Multiple Choice

The following table shows the results of a survey of authors by a fictitious publishing company. $$\begin{array} { | l | l | l | l | } \hline & \text { New Authors } & \begin{array} { l } \text { Established } \\\text { Authors }\end{array} & \text { Total } \\\hline \text { Successful } & 2 & 25 & 27 \\\hline \text { Unsuccessful } & 14 & 56 & 70 \\\hline \text { Total } & 16 & 81 & 97 \\\hline\end{array}$$ 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 contains.
Use the table to compute $n ( C \cup N )$ .

• A)43
• B) 25
• C) 45
• D) 14
• E) 41

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