Answer
(AUB)'∩C = {c,d,e,f}
Work Step by Step
U={a,b,c,d,e,f,g,h}
A={a,g,h}
B={b,g,h}
C={b,c,d,e,f}
To find (AUB)'∩C, we need to find (AUB).
(AUB) = {a,g,h} U {b,g,h} = {a,b,g,h}
(List of all the elements of A and the elements of B which are not there in A)
(AUB)' represents the elements of universal set U which are not there in (AUB)
So, (AUB)' = {c,d,e,f}
(AUB)'∩C={c,d,e,f} ∩ {b,c,d,e,f} = {c,d,e,f}
(Common elements of (AUB)' and C).
