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In a class of 3 5 students, every one takes at least one of the three courses: math, physics and chemistry. Suppose 1 8 students

In a class of 35 students, every one takes at least one of the three courses: math, physics
and chemistry. Suppose 18 students take math, 17 take physics and 16 take chemistry. There are
8 students who take both math and physics, 7 both physics and chemistry, and 6 both math and
chemistry.

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