Just final answer will do, no need workings

Q4-1 In the power set of a set S with 20 elements, the number of its elements that are nonempty and proper subsets of Sis: A. 400 B. 1048575 C. 1048576 D. 20! E. 1048574 Select one: O a. 20! O b. 1048576 O c. 1048575 O d. 1048574 O e. 400. Q5 Let A= {B76, XR3, D54, XL5), B = {B76, D54} and C = {ES2, XL5). Verify the correctness of the following statements: 1. BEA 2. BCA 3. B-ACC 4. A-BCC 5. A-BCC Select one: O a. (1) and (4) are false, and (2), (3) and (5) are true O b. Only (2) and (3) are true and all the remining are false O c. All are true O d. Only (1) is false and all the remining are true Q2 If the numbers of elements in set A and set B are m and n respectively, what is the number of elements in AxB? a. Select one: m+n O b. m Oc. Less than or equal to mn O d. mn Q4-2 Let A = {1, 2, 3, 4, 5); B = {3, 6, 7, 8}; and C = {7, 2, 9, 3}. Which of the following relationships are correct and most precise in expressing the relationships between the set expressions involved? A. A-B=A-C B. AoBcAOC C. A-C CA-B D. A-C CA-B E. AB CAC Select one: O a. B and C O b. C O c. E O d. D and E O e. B Of. D Q5-1 Consider the following relation F defined on R: F = {(x, y): y = x3 +100} Which following statement is correct? A. F is not a function. B. F is a one-to-one function but not onto. C. F is a onto function but not one-to-one. D. F is a one-to-one and onto function. Select one: O a. C. O b. D O c. A O d. B