Answer
$B+C$ does not exist.
Work Step by Step
To add two matrices, they must have the same order.
The resulting matrix has elements obtained by adding the corresponding elements of the two matrices.
$B$ is a $3\times 2$ matrix
$C$ is a $2\times 3 $ matrix
They do not have the same order, so they can not be added.
$B+C$ does not exist.