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 \[ A=\{a, c, d, e, g, h, m\}, B=\{c, e, f, g, h\} \text {, and } C=\{a, b, e, g, h, k, m\} \text {. } \] 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. (e) (10 Points) Determine \( n(A) \).
Ask by Todd Bates. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( n(A) = 7 \)
Solution
To determine \( n(A) \), we need to find the number of elements in the set \( A \).
Given:
\[ A = \{a, c, d, e, g, h, m\} \]
Now, let's count the elements in set \( A \):
1. \( a \)
2. \( c \)
3. \( d \)
4. \( e \)
5. \( g \)
6. \( h \)
7. \( m \)
Counting these, we find that there are 7 elements in set \( A \).
Thus, we have:
\[
n(A) = 7
\]
This means the number of elements in set \( A \) is 7.
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Simplify this solution The Deep Dive
To determine \( n(A) \), which represents the number of elements in the set \( A \), we need to count the distinct elements within the set \( A \). Given: \[ A = \{a, c, d, e, g, h, m\} \] Now, let's count the elements: 1. \( a \) 2. \( c \) 3. \( d \) 4. \( e \) 5. \( g \) 6. \( h \) 7. \( m \) There are 7 distinct elements in set \( A \). Thus, we have: \[ n(A) = 7 \] Don't forget to include this calculation on your PowerPoint slide along with your name! Happy presenting!
