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Question

# There are 30 students in a mathematics class. 20 of the students have studied probability, 14 have studied set theory, and two people have studied neither. Find the number of students who: a. have studied both topics b. have studied exactly one of these subjects c. have studied set theory, but not probability.

Solution

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We want to show a Venn diagram of $30$ students in a mathematics class, and then

$\textbf{a.)}$ determine the number of students who have studied both topics. $\textbf{b.)}$ determine the number of students who have studied exactly one of the subjects. $\textbf{c.)}$ determine the number of students who have studied set theory, but not probability.

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