Answer
$B \cap C = \left\{1\right\}$
Work Step by Step
Recall:
The intersection of sets $B$ and $C$, denoted by $B \cap C$, contains all the elements that are common to both sets.
Note that the element that is common to the sets $B$ and $C$ is $1$.
Thus,
$$B \cap C = \left\{1\right\}$$