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Let U be the universal set with disjoint subsets A and B, where n(U) = 45, n(A) = 15, and n(B) = 13. Find n(A'nB') n(A'nB') =a. Choose the correct diagram of S'nT below. b. Choose the correct diagram of SnT below. O A. O B. O A. OB. U U S T S T S T S T O C. OD. O C. OD. U U U U S T S T S T S TAn ice cream store has 22 flavors to select from. A customer walks in and orders a four-scoop ice cream cone. How many ways can the customer make this selection if ... a. the flavors can be the same and the order is important? ways b. the flavors are different and the order is not important? waysLet U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 7} and B = {1, 3, 5, 6}. . . . (a) List the elements of A'. OA. A'= } (Use a comma to separate answers as needed -- e.g. {1,2,3}) O B. A' =0 (b) List the elements of B- A. OA. B-A= 1 (Use a comma to separate answers as needed -- e.g. {1,2,3}) O B. B-A =0An urn contains four red, seven white, and five blue marbles. In how many ways can three marbles be selected so that... a. at least one is white? ways b. all three marbles are the same color? ways c. there is one of each color? waysIn a survey of 91 people, 22 reported that they read the Star newspaper and 27 reported that they read the Tribune newspaper, and 9 read both. How many only read the Star? I people \fA teacher and his eight students are standing in a single le line waiting to enter the cafeteria for lunch. If the teacher must stand at either the front or back of the line, how man).r different arrangements of the nine people are possible? arrangements How many four-digit numbers may be formed using elements from the set {1, 2, 3, 4, 5, 5, 7, 8} if no element may be used more than once in a number and the number must be even? ways