#### Answer

C'∩(A∪B') = {1,7}

#### Work Step by Step

U={1,2,3,4,5,6,7}
A={1,3,5,7}
B={1,2,3}
C={2,3,4,5,6}
TO FIND C'∩(A∪B') Let's first find B' & C'
B'= {4,5,6,7} (All the elements of universal set U which are not there in B)
C' = {1,7} (All the elements of universal set U which are not there in C)
A∪B' = {1,3,5,7} ∪ {4,5,6,7} = {1,3,4,5,6,7}
(All the elements of A and the elements of B' which are not there in A)
C'∩(A∪B') = {1,7} ∩ {1,3,4,5,6,7} = {1,7}
(Common elements of C' and (A∪B')