If $n ( A ) = 37$ , $n ( B ) = 25$ , and $n ( A \cap B ) = 5$ , find $n ( A \cup B )$ .
A)37
B) 57
C) 62
D) 67
E) 25

Name: If $n ( A ) = 37$ , $n ( B ) = 25$ , and $n ( A \cap B ) = 5$ , find $n ( A \cup B )$ . A)37 B) 57 C) 62 D) 67 E) 25
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Question

If $n ( A ) = 37$ , $n ( B ) = 25$ , and $n ( A \cap B ) = 5$ , find $n ( A \cup B )$ .  
A)37
B) 57
C) 62
D) 67
E) 25

Quizplus · Accepted Answer

The formula to find the number of elements in $A \cup B$ is $n(A \cup B) = n(A) + n(B) - n(A \cap B)$. Substituting the given values, we get $n(A \cup B) = 37 + 25 - 5 = 57$.

If n(A)=37n ( A ) = 37n(A)=37 n(B)=25n ( B ) = 25n(B)=25

If $n ( A ) = 37$ $n ( B ) = 25$