1. Let T be the set of passengers on the morning commuter train, W be the set of people on their way to work and P be the set of people who had pancakes for breakfast. For each of the following, shade the region corresponding to the required set. a) people on their way to work who had pancakes for breakfast b) people who had pancakes for breakfast who are not on their way to work c) people who are neither on their way to work nor had pancakes for breakfast d) people who are on their way to work or who had pancakes for breakfast but not both W P W P T and As(b. T 2. Let S = {1,2,3,4,5,6} a) BNC d) AU(BNC) W P W P T A = {1,2,3,4} B ={2,3,4,5} C= {3,4,5,6} List the elements of: b) AUC c) AUBC e) (AUB)N(AUC) f) (BNA) U(BNC) 3. Create then shade a Venn Diagram to represent each set. a) AN(BUC) S A B C b) (ANB)NCC S A B C T