Try the fastest way to create flashcards
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

Verified
Step 1
1 of 2

We know, $A$ is set of students from College of Art $\&$ Sciences and $S$ is set of Sophomores.

$A \cup S$ 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,

\begin{align*} n(A \cup S)&=19+14+21\\ &=\textcolor{#4257b2}{54} \end{align*}

## Recommended textbook solutions #### Excursions in Modern Mathematics

9th EditionISBN: 9780134469096Peter Tannenbaum
2,681 solutions #### Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences

14th EditionISBN: 9780134675985 (3 more)Christopher J. Stocker, Karl E. Byleen, Michael R. Ziegler, Raymond A. Barnett
3,808 solutions #### Finite Mathematics

11th EditionISBN: 9780321979438Margaret L. Lial, Nathan P. Ritchey, Raymond N. Greenwell
5,113 solutions #### Mathematical Excursions

4th EditionISBN: 9781305965584Daniel K. Clegg, Joanne Lockwood, Richard D. Nation, Richard N. Aufmann
4,593 solutions