A survey of 68 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries, 33 purchased science fiction, 26 purchased romance novels, 17 purchased mysteries and science fiction, 14 purchased mysteries and romance novels, 10 purchased science fiction and romance novels, and 3 purchased all three types of books. a) How many of the customers surveyed purchased only mysteries? 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A survey of 68 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries, 33 purchased science fiction, 26 purchased romance novels, 17 purchased mysteries and science fiction, 14 purchased mysteries and romance novels, 10 purchased science fiction and romance novels, and 3 purchased all three types of books. a) How many of the customers surveyed purchased only mysteries? 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?
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