Answer
B'∩C = {4,5,6}
Work Step by Step
U = {1,2,3,4,5,6,7}
B = {1,2,3}
C = {2,3,4,5,6}
The set B' contains all the elements that are not in set B.
Since B contains 1,2,3 so these elements will not be there in set B.
Therefore the elements of B' are 4,5,6,7.
B' = {4,5,6,7}
B'∩C implies the common elements which are present in both the sets B' and C.
Therefore the common elements are 4,5,6.
B'∩C = {4,5,6}