Let A = {1, 2, 3, ... , 15}. a) How many subsets of A contain all

Question:

Let A = {1, 2, 3, ... , 15}.
a) How many subsets of A contain all of the odd integers in A?
b) How many subsets of A contain exactly three odd integers?
c) How many eight-element subsets of A contain exactly three odd integers?
d) Write a computer program (or develop an algorithm) to generate a random eight-element subset of A and have it print out how many of the eight elements are odd.