A survey of 73 customers was taken at a bookstore regarding the types of books purchased. The survey found that 45 customers purchased mysteries 37 purchased science fictionfiction​, 30 purchased romance novels 2020 purchased mysteriesmysteries and sciencescience fictionfiction​, 1717 purchased mysteriesmysteries and romanceromance   1313 purchased sciencescience fictionfiction and romanceromance novelsnovels​, and 55 purchased all three types of books.   ​a) How many of the customers surveyed purchased only science fictionscience fiction​? ​b) How many purchased mysteriesmysteries and sciencescience fictionfiction​, but not romanceromance novelsnovels​? ​c) How many purchased mysteriesmysteries or sciencescience fictionfiction​? ​d) How many purchased mysteriesmysteries or sciencescience fictionfiction​, but not romanceromance novelsnovels​? ​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
73
customers was taken at a bookstore regarding the types of books purchased. The survey found that
45
customers purchased
mysteries
37
purchased
science
fictionfiction​,
30
purchased
romance
novels
2020
purchased
mysteriesmysteries
and
sciencescience
fictionfiction​,
1717
purchased
mysteriesmysteries
and
romanceromance
 
1313
purchased
sciencescience
fictionfiction
and
romanceromance
novelsnovels​,
and
55
purchased all three types of books.
 
​a) How many of the customers surveyed purchased only
science fictionscience fiction​?
​b) How many purchased
mysteriesmysteries
and
sciencescience
fictionfiction​,
but not
romanceromance
novelsnovels​?
​c) How many purchased
mysteriesmysteries
or
sciencescience
fictionfiction​?
​d) How many purchased
mysteriesmysteries
or
sciencescience
fictionfiction​,
but not
romanceromance
novelsnovels​?
​e) How many purchased exactly two types of​ books?
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