1. In a group of 15 pizza experts, ten like Canadian bacon, seven like anchovies, and six like both. (a). How many people like at least one of these toppings? (b). How many like Canadian bacon but not anchovies? (c). How many like exactly one of the two toppings? (d). How many like neither? 3. Among the 30 students registered for a course in discrete mathematics, 15 people know the JAVA programming language, 12 know HTML, and 5 know both pf these languages. (a). How many students know at least one of JAVA or HTML? (b). How many students know only JAVA? (c). How many know only HTML? (d). How many know exactly one of the languages JAVA and HTML? 6. (a). In a group of 82 students, 59 are taking English, 46 are taking mathematics, and 12 are taking neither of these subjects. How many are taking both English and math? (b). In a group of 97 students, the number of English is twice the number taking math. Fifty-three students take exactly one of these subjects and 15 are taking neither course. How many students are taking math? How many are taking English? 2. A building supplies store carries metal, wood, and plastic moldings. Metal and wood moldings comes in two different colors. Plastics molding comes in six different colors. (a). How many choices of molding does this store offer? (b). If each kind and each color of molding comes in four different lengths, how many choices does the consumer have in the purchase of one piece of molding? 8. From a standard deck of 52 playing cards, in how many ways can you draw: (a). A heart or a spade? (b). An ace or a king? (c). A card numbered 2 through 10? (d). A card numbered 2 through 10 or a king? 14. There are three different roads from Cupids to Harbour Grace and five different roads from Harbour Grace to Heart's Desire. (a). How many different routes are there from Cupids to Heart's Desire via Harbour Grace? (b). How many different round trips are there from Cupids to Heart's Desire and back, passing through Harbour Grace each way? (c). Repeat (b) if you don't want to drive on any road more than once. TRUE OF FALSE 4. In a group of 366 people, there must be 2 who have their birthdays on the same day. 8. In a group of 49 people, there must be 6 who have their birthdays in the same month. 9. In n objects are put into m boxes and n > m, then some box must contain at least objects