5 Let A (1,2,3, 4, 5, 6, 10, 12, 15, 20, 30, 60). These are the factors of 60. Draw the Hasse diagram of the divisibility relation on A i.c. (z,y) iff z is a factor of y iff y is a multiple of z.

Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: %3D Set A = {4, 5, 9, 10, 11, 12, 14, 17, 18} Set B = = {3, 4, 5, 6, 7, 11, 14, 16, 17, 19, 20} Find the following: The number of elements in the set (AN Bº): n(AN B") = %3! The number of elements in the set (BN A°): n(Bn A°) is

{5, 5, 6, 9, 9, 11, 13} This set has two O medians means O modes

How many partitions does the set {1,2,3, 4} have? List all the partitions.

How many different 5-block (5-part) partitions can be made of the set A = {1,2,3, 4, 5, 6}.

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many subsets of A are there? That is, find |P(A)|. b. How many subsets of A contain exactly 5 elements? c. How many subsets of A contain only even numbers? d. How many subsets of A contain an even number of elements?