Let D = {1, 2, 3, . . . , 9}. Find the cardinalities (sizes) of the following sets: (no explanation needed in this question)
a) The set of all functions from D to D.
b) The set of all one-to-one functions from D to D.
c) The set of all subsets of D.
d) The set of all subsets of D of odd size.
e) The set of all subsets of D of size 5 with exactly 2 even digits.
f) The set of all numbers with 7 distinct digits that can be formed from D.
g) The set of all palindromic numbers with 7 digits that can be formed from D. (palindromic: the same if read forward or backward)
h) The set of numbers with 6 digits that contain the number 9 as one of its digits.