There are 100 students each enrolled in at least one of three science classes. Of those students, 60 are enrolled in chemistry, 45 in physics, and 30 in biology. Some students are enrolled in two science classes, and 10 students are enrolled in all three. (a) How many students are enrolled in exactly two science classes? (b) There are 9 students taking both chemistry and physics (but not biology), and 4 students taking both physics and biology (but not chemistry). How many are taking both chemistry and biology (but not physics) ? Lewis, Harry. Essential Discrete Mathematics for Computer Science (p. 57). Princeton University Press. Kindle Edition.
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