MA 114 - Introduction to Finite Mathematics
: Lucas Castle
Exam 3 - Form A Solutions
1. A publishing company sent out a survey designed to collect information on its consumer base. Of
the 200 respondents, 110 indicated that they were female, 95 were currently attending college, and
125 indicated that they prefer fiction to non-fiction. Looking more closely at the data, it can be
seen that 72 of the respondents were female college students, 63 of the female respondents prefer
fiction to non-fiction, 58 of the college students prefer fiction to non-fiction, and 42 of the female
respondents were college students with a preference for fiction.
Draw a Venn diagram to represent the publishing company’s survey respondents,
and fill in all regions with appropriate numerical values (i.e. counts).