Records at a small college show the following about the enrollments of 100 first-year students in mathematics,

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Records at a small college show the following about the enrollments of 100 first-year students in mathematics, fine arts, and economics.
38 take math
42 take fine arts
20 take economics
4 take economics and fine arts
15 take math and economics
9 take math and fine arts
12 take math and economics but not fine arts
(a) How many take none of these three courses?
(b) How many take math or economics?
(c) How many take exactly one of these three courses?
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