How many functions are there form the set {A, B, C, D} to the set {1, 2, 3}?Select one:a.43b.0c.None of the othersd.34e.12

How many 3 element subsets are there in the set {a,b,c,d,e,f,g}a.7b.140c.70d.21e.35

Which set of ordered pairs is a function fromA = {a, b, c, d} to B = {1, 2, 3, 4, 5, 6}?

3. How many subsets of {a, b, c, d, e, f, h, i} are there? Show how you determined it.

Let X be the set {a, b, c, d, e}. Give answers to each of the following questions, justifying your answer in each case.(a) How many functions are there which map from X to X?(b) How many distinct total orders can be defined on X?(c) For each function f in the set of functions from X to X, consider the relation that is the symmetric closure ofthe function f . Let us call the set of these symmetric closures Y . List at least two elements of Y .(d) Suppose R is some partial order on X. What is the smallest possible cardinality R could have? What is thelargest?

How many subsets of the set {1, 2, 3, 4} that contain 3?Select one:a.9b.3c.8d.16