The members of the Crafters' Guild do various crafts, including weaving, embroidery, crocheting, and macrame. Consider the following subsets of members of the Guild: W is the set of all who do weaving, E is the set of all who do embroidery, C is the set of all who do crocheting, and M is the set of all who do macrame. Which of the following represent the set of all Guild members who either do weaving or do crocheting but do not do macrame? OA. WUCUM OB. (WnCOM) Oc. (Wuc)nMc OD. ( W UC) n M'n EC OE . ( Wnc ) n McLet U be the set of all households in Hillvalley. The following subsets of U are defined: S is the set of those who subscribe to the Hillvalley Star, F is the set of those who subscribe to the Hillvalley Free Press, and D is the set of those who subscribe to the Hillvalley Daily. The Mtongwiza, Chang, and Wong families live in 3 neighbouring houses on a street in Hillvalley. The Mtongwiza's subscribe only to the Hillvalley Star and the Hillvalley Free Press. The Chang's receive all 3 of the newspapers. The Wong's receive only the Hillvalley Daily. Which of these households are in the set (SUD)n (S n D) ? O A. Chang only B. Mtongwiza only C. Mtongwiza and Wong but not Chang D. Chang and Wong but not Mtongwiza O E. Wong onlyn ( DU FC) Suppose D and F are subsets of a universal set. If we know n ( D n F) = 18, n(Dn FC) = 22, n(D'n F) = 11, and n( D'n Fc) = 15, determine O A. 66 O B. 37 O C. 77 O D. 55 O E. 22Morgan and Andrew are sitting down to play a friendly game. Each time they play Morgan might win or Andrew might win. They agree to repeatedly play the game until one of the following happens: Morgan wins 3 games in a row, Andrew wins 3 games in a row, or 4 games have been played. How many different sequences of game results are possible? A. 14 B. 15 C. 12 D. 10 E. 17 Tourists returning home were interviewed about which countries they had visited on their trip abroad. Of the 315 tourists interviewed, all but 15 of them had visited at least one of Cuba, Zambia, or Laos, while exactly 45 had visited all three. 160 tourists had not travelled to Cuba and 60 had not visited Zambia. Additionally, 200 of them had not been to Laos. The interviews also revealed that 10 tourists had been to Laos only. If we also know that 5 had travelled to Cuba and Laos but not to Zambia, then how many people had visited both Laos and Zambia, but not Cuba? O A. 80 O B. 55 O C. 25 O D. 100 O E. 90How many subsets of {3, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z} contain the letters, U, B, but do not contain the letter, S? A. 223 + 224 B. 226 c. 225 D. 222 E. 223 21