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In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 15 studied both mathematics and history. If one of these

In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 15 studied both mathematics and history. If one of these students is selected at random, find the probability that a) Student takes mathematics or history; b) Student does not take either of these subjects; c) The student takes history but not mathematics

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