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. (f) (10 Points) Determine \( n(B) \).
Ask by French Thornton. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( n(B) = 5 \)
Solution
To determine \( n(B) \), we need to find the number of elements in the set \( B \).
Given:
\[ B = \{c, e, f, g, h\} \]
Now, let's count the elements in set \( B \):
1. \( c \)
2. \( e \)
3. \( f \)
4. \( g \)
5. \( h \)
Counting these, we find that there are 5 elements in set \( B \).
Thus, we have:
\[
n(B) = 5
\]
This means the number of elements in set \( B \) is 5.
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Simplify this solution Mind Expander
To determine \( n(B) \), which is the number of elements in set \( B \), we first look at the definition of \( B \). Given: \[ B = \{c, e, f, g, h\} \] Now, we simply count the distinct elements in the set \( B \): - \( c \) - \( e \) - \( f \) - \( g \) - \( h \) There are 5 distinct elements in set \( B \). Thus, the value of \( n(B) \) is: \[ n(B) = 5 \] Make sure to include your name on the slide!
