In an engineering class there are 15 students taking chemistry,20 students taking mathematics. Of these students,10 are taking both chemistry and mathematics.How many students are taking either chemistry or mathematics? Expert's answer
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Let denotes the set of students taking chemistry, denotes the set of students taking mathematics. Then be the set of students taking both chemistry and mathematics. It follows that
The number of students that take mathematics but do not take chemistry is The number of students that take chemistry but do not take mathematics is
Therefore, the number of students taking either chemistry or mathematics is