Application of Sets

Question

A survey of 72 customers was taken at a bookstore regarding the types of books purchased. The survey found that 43 customers purchased mysteries, 33 purchased sciencefiction, 27 purchased romance novels, 18 purchased mysteries and science fiction, 15 purchased mysteries and romance novels, 8 purchased science fiction and romance novels, and 4 purchased all three types of books.

 

a) How many of the customers surveyed purchased only romance novels?
b) How many purchased mysteries and science fiction, but not romance novels?
c) How many purchased mysteries or science fiction?
d) How many purchased mysteries or science fiction, but not romance novels?
e) How many purchased exactly two types of books?

Answer 1

Hi Talia,

 

This is difficult to answer without drawing Venn diagrams. It is not possible to do it on this platform. I can send you my drawing if you contact me from my account.