The members of the Crafters' Guild do various crafts, including tatting, embroidery, quilting, and weaving. Consider the following subsets of members of the Guild: I is the set of all who do tatting, E is the set of all who do embroidery, Q is the set of all who do quilting, and W is the set of all who do weaving. Which of the following represent the set of all Guild members who either do tatting or do quilting but do not do weaving? OA. (TUQ) nW'nE O B . T U Q U WC Oc. (TUQ) nw OD. (InQ ) nw. OE. ( Inenw )Let U be the set of all households in Hillvalley. The following subsets of U are defined: D is the set of those who subscribe to the Hillvalley Daily, G is the set of those who subscribe to the Hillvalley Gazette, and J is the set of those who subscribe to the Hillvalley Journal. The Lawson, Olds, and Beaumont families live in 3 neighbouring houses on a street in Hillvalley. The Lawson's subscribe only to the Hillvalley Daily and the Hillvalley Gazette. The Olds's receive all 3 of the newspapers. The Beaumont's receive only the Hillvalley Journal. Which of these households are in the set (DUJ) n (Dn J)? A. Olds and Beaumont but not Lawson O B. Lawson and Beaumont but not Olds O C. Olds only O D. Beaumont only E. Lawson onlyO A. 29 Suppose E and C are subsets of a universal set. If we know n ( En C) = 8, n(En Cc ) = 12, n(En C) = 3, and n(E'n Cc ) = 17, determine n ( EU Cc ) O B. 40 O c. 12 O D. 37 O E. 49Morgan and Brian are sitting down to play a friendly game. Each time they play Morgan might win, Brian might win, or the game might end in a draw (nobody wins). They agree to repeatedly play the game until one of the following happens: Brian wins 1 game, 2 games end in a draw, or 4 games have been played. How many different sequences of game results are possible? A. 24 B. 19 C. 25 D. 21 E.20 A market research team has performed a study investigating 27 people in the local population. It is discovered that 15 of these people have a college scholarship, while there are 19 people who do not go hiking on weekends. Ifthe market research also shows that 10 of those surveyed have a college scholarship and do not go hiking on weekends, determine how many do not have a college scholarship but do go hiking on weekends. A. 5 B. 3 C. 34 D. 17 E9 Tourists returning home were interviewed about which countries they had visited on their trip abroad. Of the 305 tourists interviewed, all but 15 of them had visited at least one onemen,Japan, or Oman, while exactly 50 had visited all three. 90 tourists had not travelled to Yemen and 150 had not visited Japan. Additionally, 150 of them had not been to Oman. The interviews also revealed that 25 tourists had been to Oman only. If we also know that 35 had travelled to Yemen and Oman but not to Japan, then how many people had visited both Oman andjapan, but not Yemen? A. 30 B. 45 C. 95 D. 40 E.5 How many 6 digit numbers less than 469999 can be formed from the digits {1, 2, 3, 4,5, 6, 7}, if repetition of the digits is allowed? A. 9 x 74 B. 76 c. 27 x 74 D. 63 x 75 E.9x75 The dessert table at a buffet has 3 kinds of pie, 2 different cakes, 5 fruit dishes, and 6 flavours of ice cream. A customer at this buffet can sample as many ofthese different desserts as they wish. In how many ways can a customer decide which items to have for dessert? A162 B.3>