If $n ( A ) = 110$ , $n ( A \cup B ) = 180$ , and $n ( A \cap B ) = 45$ , find $n ( B )$ .
A)25
B) 115
C) 135
D) 70
E) 155

Name: If $n ( A ) = 110$ , $n ( A \cup B ) = 180$ , and $n ( A \cap B ) = 45$ , find $n ( B )$ . A)25 B) 115 C) 135 D) 70 E) 155
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Question

If $n ( A ) = 110$ , $n ( A \cup B ) = 180$ , and $n ( A \cap B ) = 45$ , find $n ( B )$ .  
A)25
B) 115
C) 135
D) 70
E) 155

Quizplus · Accepted Answer

The formula to find the number of elements in set B is $n(B) = n(A \cup B) - n(A) + n(A \cap B)$. Substituting the given values, we get $n(B) = 180 - 110 + 45 = 115$.

If n(A)=110n ( A ) = 110n(A)=110 n(A∪B)=180n ( A \cup B ) = 180n(A∪B)=180

If $n ( A ) = 110$ $n ( A \cup B ) = 180$