Problem 6. Power Sets (8 points)

For each of the sets A,B,C below, write out their powersets by listing the entire set.

[1 pts.] A =

[2 pts.] B = {X}

[3 pts.] C = {X,Y,Z}

[2 pts.] How many elements are in the powerset of the set of the 52 cards which make up the standard playing card deck ({2H,3H,4H,...,QS,KS,AS}) elements? You do not need to enumerate all of these sets.