Question
Let \( U \) be the universal set, where \( U=\{a, b, c, d, e, f, g, h, i, j, k, l, m, n\} \). Let \( A, B \), and \( C \) be subsets of \( U \), where \[ A=\{a, c, d, e, g, h, m\}, B=\{c, e, f, g, h\}, \text { and } C=\{a, b, e, g, h, k, m\} \] Do the following, showing all your work and including your name on your slide(s) using the Microsoft PowerPoint application available via the Quick Access menu after logging into my.CCC.edu. Images of handwritten work are not acceptable for this assignment. An editor such as Mathcha (online Math editor), Microsoft PowerPoint Equation Editor, etc., can be used. (g) (10 Points) Determine \( n(C) \).
Ask by Rodriquez Cruz. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( n(C) = 7 \)
Solution
To determine \( n(C) \), we need to find the number of elements in the set \( C \).
The set \( C \) is given as:
\[
C = \{a, b, e, g, h, k, m\}
\]
Now, let's count the elements in \( C \):
1. \( a \)
2. \( b \)
3. \( e \)
4. \( g \)
5. \( h \)
6. \( k \)
7. \( m \)
Counting these, we find that there are 7 elements in the set \( C \).
Thus, we have:
\[
n(C) = 7
\]
### Summary
- The number of elements in set \( C \) is \( n(C) = 7 \).
Make sure to include this information in your PowerPoint presentation along with your name.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To determine \( n(C) \), we need to find the number of elements in the set \( C \). Looking at the elements provided: \[ C = \{a, b, e, g, h, k, m\} \] We can count the distinct elements in the set \( C \): 1. \( a \) 2. \( b \) 3. \( e \) 4. \( g \) 5. \( h \) 6. \( k \) 7. \( m \) There are no repeated elements, so we can simply count them. Thus, the number of elements in \( C \) is: \[ n(C) = 7 \] Your name should be placed prominently on your PowerPoint slide, along with the calculations above to confirm \( n(C) = 7 \).
