#### Answer

(AUBUC)' = { }

#### 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 (AUBUC)', we need to find AUBUC.
(AUBUC) = {a,g,h} U {b,g,h} U {b,c,d,e,f} = {a,b,c,d,e,f,g,h}
(List of all elements of A and the elements of B which are not in A and the elements of C which are not in A and B )
(AUBUC)' represents the elements of U which are not there in (AUBUC)
So, (AUBUC)' = { }