Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let sets A, B, and C be subsets of U, where: A {2, 4, 5, 6, 10} B {1, 2, 3, 6, 8, 9, 10} C = {1, 2, 3, 6, 8, 9, 11} |3| Find the following: LIST the elements in the set Bº U Ø : Bº U 0 = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set AN B: AN B = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set A° UC: A°UC = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (A N B) n C° : (AN B) n C° = {

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let \( U \) be the universal set, where:
\[ U = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 \} \]

Let sets \( A \), \( B \), and \( C \) be subsets of \( U \), where:

\[ A = \{ 2, 4, 5, 6, 10 \} \]

\[ B = \{ 1, 2, 3, 6, 8, 9, 10 \} \]

\[ C = \{ 1, 2, 3, 6, 8, 9, 11 \} \]

Find the following:

**LIST the elements in the set \( B^c \cup \emptyset \):**

\[ B^c \cup \emptyset = \{ \]

\[ \} \]

Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**.

---

**LIST the elements in the set \( A \cap B \):**

\[ A \cap B = \{ \]

\[ \} \]

Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**.

---

**LIST the elements in the set \( A^c \cup C \):**

\[ A^c \cup C = \{ \]

\[ \} \]

Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**.

---

**LIST the elements in the set \( (A \cap B) \cap C^c \):**

\[ (A \cap B) \cap C^c = \{ \]

\[ \} \]

Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**.
Transcribed Image Text:Let \( U \) be the universal set, where: \[ U = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 \} \] Let sets \( A \), \( B \), and \( C \) be subsets of \( U \), where: \[ A = \{ 2, 4, 5, 6, 10 \} \] \[ B = \{ 1, 2, 3, 6, 8, 9, 10 \} \] \[ C = \{ 1, 2, 3, 6, 8, 9, 11 \} \] Find the following: **LIST the elements in the set \( B^c \cup \emptyset \):** \[ B^c \cup \emptyset = \{ \] \[ \} \] Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**. --- **LIST the elements in the set \( A \cap B \):** \[ A \cap B = \{ \] \[ \} \] Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**. --- **LIST the elements in the set \( A^c \cup C \):** \[ A^c \cup C = \{ \] \[ \} \] Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**. --- **LIST the elements in the set \( (A \cap B) \cap C^c \):** \[ (A \cap B) \cap C^c = \{ \] \[ \} \] Enter the elements as a list, separated by commas. If the result is the empty set, enter **DNE**.
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