A local television sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with following results:
90 were interested in an interview show and a documentary but not reruns.
12 were interested in an interview show and reruns but not a documentary.
42 were interested in reruns but not an interview show.
72 were interested in an interview show but not a documentary.
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns.
24 were interested in none of the three.
How many are interested in exactly one kind of show?
I thought 42+72=114 would be the answer because it's one kind of show, and I tried the Venn Diagram but it won't make any sense because of the crazy data.
Thanks for your help in advance.
PS: Would absolutely love an explained answer.