(1, 2, 3, 4. .. . 11) 4. How many one-to-one correspondences are there between two sets with a. 6 elements each? b. n elements each? Explain your reasoning. 5. How many one-to one correspondences are there between the sets ( x, y, z, u, v} and { 1, 2, 3, 4, 5} if in each correspondence A. X thust correspond to 5? b. x must correspond to 5 and y to 1? x y, and = must correspond to odd numbers? 's, Which of the following represent equal sets? 4. " jo, b, c, d ) B = [x, y, z, w} Ce (, da,b) D= (x 1 s x = 4 and xEN) E -2 F = (2) H = { } I m ( x x x 2n + 1 and new} La (x x = 2 - 1 and n EN} 7. Find the cardinal number of each of the following sets. Assume the pattern of elements continues in each part in the order given. A. (201, 202, 203, .. . . 1100} b. (1, 3, 5, . ... 101) C (1, 2, 4, 8, 16, . . .. 1024 ) d. (xx x, k = 1, 2, 3, . .., 100} 8, If U is the set of all college students and A is the set of all college students with a straight-A average, describe A. 9. Suppose B is a proper subset of C. a. If "(C) - 8, what is the maximum number of elements in B? b. 1In(B) - 8, what is the maximum number of elements in C