Use a Venn Diagram or Some Other Method to Obtain $n ( A \cup B \cup C )$

question 57

Multiple Choice

Use a Venn diagram or some other method to obtain a formula for
$n ( A \cup B \cup C )$ in terms of $n ( A )$ , $n ( B )$ , $n ( C )$ , $n ( A \cap B )$ , $n ( A \cap C )$ , $n ( B \cap C )$ , and $n ( A \cap B \cap C )$ .

• A) \(n ( A \cup B \cup C ) = n ( A ) + n ( B ) + n ( C ) - n ( A \cap B ) - n ( A \cap C ) - n ( B \cap C ) + n ( A \cap B \cap C )\)
• B) \(n ( A \cup B \cup C ) = n ( A ) + n ( B ) + n ( C ) - n ( A \cap B ) - n ( A \cap C ) - n ( B \cap C ) - n ( A \cap B \cap C )\)
• C) \(n ( A \cup B \cup C ) = n ( A ) + n ( B ) + n ( C ) - n ( A \cap B \cap C )\)
• D) \(n ( A \cup B \cup C ) = n ( A ) + n ( B ) + n ( C ) + n ( A \cap B ) + n ( A \cap C ) + n ( B \cap C ) - n ( A \cap B \cap C )\)
• E) \(n ( A \cup B \cup C ) = n ( A ) + n ( B ) + n ( C ) - n ( A \cap B ) - n ( A \cap C ) - n ( B \cap C )\)

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