Answer
successful new authors
successful or new authors
5
45
Work Step by Step
$S\cap N$ is the set of successful new authors.
$S\cup N$ is the set of successful or new authors.
As we can see it from the table, $n(S\cap N)=5$
$n(N\cup S)=n(N)+n(S)-n(N\cap S)=20+30-5=45$