Among a group of 100 book enthusiasts: 40 people like mystery novels, 60 like science fiction novels, 30 like romance novels, and 10 like both mystery and romance novels. While all surveyed liked at least one genre of novel, it has been established that none of the people like both science fiction and romance novels. How many people like both mystery and science fiction novels?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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. Among a group of 100 book enthusiasts: 40 people like mystery novels, 60 like science fiction novels, 30 like
romance novels, and 10 like both mystery and romance novels. While all surveyed liked at least one genre of
novel, it has been established that none of the people like both science fiction and romance novels. How
many people like both mystery and science fiction novels?

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