Craig Stephens
08/14/2024 · Senior High School
\( n ( A \cup B ) = n ( A ) + n ( B ) - n ( A n B ) \)
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The given equation represents the formula for the number of elements in the union of two sets \( A \) and \( B \) in terms of the number of elements in each set and the intersection of the two sets.
The formula is:
\[ n ( A \cup B ) = n ( A ) + n ( B ) - n ( A \cap B ) \]
This formula states that the number of elements in the union of sets \( A \) and \( B \) is equal to the sum of the number of elements in set \( A \) and the number of elements in set \( B \), minus the number of elements in the intersection of sets \( A \) and \( B \).
If you have specific values for the number of elements in sets \( A \), \( B \), and their intersection, you can substitute those values into the formula to find the number of elements in the union of sets \( A \) and \( B \).
Quick Answer
The formula for the number of elements in the union of two sets \( A \) and \( B \) is \( n ( A \cup B ) = n ( A ) + n ( B ) - n ( A \cap B ) \).
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