Answer
(BUC)'= {1,2,3,13}
Work Step by Step
The set (BUC)', represents the all the elements of the universal set U which are not present in BUC
From the given Venn diagram we can conclude that the regions I and VIII are not represent the set (BUC).
So the regions I and VIII belongs to (BUC)'. The element of these regions are 1,2,3,13
So, (BUC)'= {1,2,3,13}