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Question
Find the indicated number of elements by referring to the following table of enrollments in a finite mathematics class: $$ \begin{matrix} \text{} & \text{Freshmen} & \text{Sophomores}\\ \text{Arts & Sciences} & \text{19} & \text{14}\\ \text{Business} & \text{66} & \text{21}\\ \end{matrix} $$ Let the universal set U be the set of all 120 students in the class, A the set of students from the College of Arts & Sciences, B the set of students from the College of Business, F the set of freshmen, and S the set of sophomores. $n(A \cup S)$
Solution
VerifiedStep 1
1 of 2We know, is set of students from College of Art Sciences and is set of Sophomores.
represents set of students from College of Art Sciences or are sophomores
Given, there are:
- 19 freshmen in College of Art Sciences
- 14 sophomores in College of Art Sciences
- 21 sophomores in College of Business
Hence,
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