36. The secretary of a college has calculated that from the students who took calculus, physics, and

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36. The secretary of a college has calculated that from the students who took calculus, physics, and chemistry last semester, 78%passed calculus, 80%physics, 84%chemistry, 60% calculus and physics, 65% physics and chemistry, 70% calculus and chemistry, and 55% all three. Show that these numbers are not consistent, and therefore the secretary has made a mistake.

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