Let $$\begin{aligned}
A & = \{ \text { June, Jill, Molly, Jolly } \} \
B & = \{ \text { Jill, Jolly, Jennifer } \} \
C & = \{ \text { Rachel, Jill, Jolly } \}
\end{aligned}$$
Find the set $A \cap ( B \cap C )$ .

A) $\{ \text { Rachel, Jill, Jolly } \}$
B) $\{ \text { Jill, Jennifer } \}$
C) $\{ \text { Jill, Jolly } \}$
D) $\text { \{June, Jill, Molly, Jolly, Jennifer, Rachel\} }$
E) $\varnothing$

Question

Let  $$\begin{aligned}
A & = \{ \text { June, Jill, Molly, Jolly } \} \
B & = \{ \text { Jill, Jolly, Jennifer } \} \
C & = \{ \text { Rachel, Jill, Jolly } \}
\end{aligned}$$  
Find the set $A \cap ( B \cap C )$ .
 
A) $\{ \text { Rachel, Jill, Jolly } \}$
B)   $\{ \text { Jill, Jennifer } \}$
C)   $\{ \text { Jill, Jolly } \}$
D)  $\text { \{June, Jill, Molly, Jolly, Jennifer, Rachel\} }$
E)   $\varnothing$

Quizplus · Accepted Answer

First, find the intersection of sets B and C, which is $\{ \text{Jill, Jolly} \}$ because these are the elements common to both sets. Then, intersect this result with set A, which also contains Jill and Jolly, thus $A \cap (B \cap C) = \{ \text{Jill, Jolly} \}$.

Let Find the Set A∩(B∩C)A \cap ( B \cap C )A∩(B∩C)

Let Find the Set $A \cap ( B \cap C )$