Let $A = \{ \text { Dirk, Johan, Frans, Janet } \}$ , $B = \{ \text { Frans, Janet, Johan, Klass, Henrika } \}$ , $C = \{ \text { Dirk, Frans } \}$ . Find $n ( A \cup ( B \cap C ) )$ .
A)0
B) 5
C) 7
D) 4
E) 1

Question

Let $A = \{ \text { Dirk, Johan, Frans, Janet } \}$ , $B = \{ \text { Frans, Janet, Johan, Klass, Henrika } \}$ , $C = \{ \text { Dirk, Frans } \}$ . Find $n ( A \cup ( B \cap C ) )$ .  
A)0
B) 5
C) 7
D) 4
E) 1

Quizplus · Accepted Answer

First, find $B \cap C = \{ \text{Frans} \}$. Then, $A \cup (B \cap C) = A \cup \{ \text{Frans} \} = \{ \text{Dirk, Johan, Frans, Janet} \}$. The number of elements in this set is 4.

Let A={ Dirk, Johan, Frans, Janet }A = \{ \text { Dirk, Johan, Frans, Janet } \}A={ Dirk, Johan, Frans, Janet }

Let $A = \{ \text { Dirk, Johan, Frans, Janet } \}$