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One hundred new books are released nationally over a busy 3-day stretch in December. Eight had an e-book version available only on Amazon, 5 were available only on Google books, and 18 were available only on iTunes. There were 26 total available on Google, 7 that could be found on both Amazon and Google but not iTunes, and 4 that could be found on both iTunes and Google but not Amazon. Draw a Venn diagram representing this information and use it to answer the following questions.
- (a) How many books were available on all three services?
- (b) Explain why you can’t find the number of books that were not available on any of the three services.
- (c) If every book released was available as an e-book on at least one of Amazon, Google, or iTunes, how many were available on Amazon and iTunes but not Google?
- (d) In that case, how many were available on exactly two of those three services?
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