(1) How many 2-permutations of the set (a, b, c, d, e} are there? List them all. (2) Compute these permutation and combination numbers, showing your work: (a) P(6,3) (b) P(5,5) (c) C(5,5) (d) C(8,4) (e) C(6,0)

If set A has 4 elements and B has 3 elements then set n(A X B) is 14 12 24 7

The power set of A is denoted by What is the size of the following set? (Enter your answer as a single integer). P(A) P(P(P(P(0))))

For each n-element array an, the first element is always what is returned by a[1]. What is true, and what is false?

A computer is printing out subsets of a 3 element set (possibly including the empty set). 1) How many different subsets are there? 1 2) At least how many sets must be printed to be sure of having at least 2 identical subsets on the list? 3) At least how many identical subsets are printed if there are 25 subsets on the list?

What is the a(0) term of the sequence {a(n)} where a(n) = 4n - 3?

What is the union of sets {1,3,4} and {0,3,5}?

Find the union, intersection, and difference (? − ?) of the following pairs of sets.(a) ? = The set of positive odd integers less than 15.? = The set of positive even integers less than 16.(b) ? = {?, ?, ?, ?, ?, ?}? = {?, ?, ?, ?, ?}

For each n-element array an, the first element is always what is returned by a[1]. What is true, and what is false?

How many elements are there in the set {{5, 9}, {1, 2, 3}, {3, 4, 5, 6, ...}, 1, 0}? infinitely many