Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set А 3 {5, 8, 13, 18, 19, 20} Set B {2, 3, 6, 8, 9, 10, 11, 13, 16, 19, 20} Set C {1, 5, 6, 8, 9, 12, 15, 20} Find the number of elements in the set ( Au Bu C) n( Au Bu C) = Find the number of elements in the set( ANB N C) n( ANBN C) =

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let \( S \) be the universal set, where:
\[ S = \{1, 2, 3, \ldots, 18, 19, 20\} \]

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

Set \( A = \{5, 8, 13, 18, 19, 20\} \)

Set \( B = \{2, 3, 6, 8, 9, 10, 11, 13, 16, 19, 20\} \)

Set \( C = \{1, 5, 6, 8, 9, 12, 15, 20\} \)

Find the number of elements in the set \( (A \cup B \cup C) \).

\[ n(A \cup B \cup C) = \text{\_\_\_} \]

Find the number of elements in the set \( (A \cap B \cap C) \).

\[ n(A \cap B \cap C) = \text{\_\_\_} \]
Transcribed Image Text:Let \( S \) be the universal set, where: \[ S = \{1, 2, 3, \ldots, 18, 19, 20\} \] Let sets \( A \) and \( B \) be subsets of \( S \), where: Set \( A = \{5, 8, 13, 18, 19, 20\} \) Set \( B = \{2, 3, 6, 8, 9, 10, 11, 13, 16, 19, 20\} \) Set \( C = \{1, 5, 6, 8, 9, 12, 15, 20\} \) Find the number of elements in the set \( (A \cup B \cup C) \). \[ n(A \cup B \cup C) = \text{\_\_\_} \] Find the number of elements in the set \( (A \cap B \cap C) \). \[ n(A \cap B \cap C) = \text{\_\_\_} \]
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