Question

From the given diagram find the number of elements in A $\cup$ (B $\cap$ C)

Answer 1

$B\cap C$ has the elements which are written in the intersection of the circles drawn for $B$ and $C$.
So, $B\cap C=$ { $h,j$ }
$A\cup (B\cap C)$ has the elements which are written in the circle with $A$ and also the elements of $B\cap C$.
So, $A\cup (B\cap C)=$ { $a,b,c,d,g,h,i,j$ }.