Let S = {1,2,3,...,10}.
a. Find the number of subsets of S that contain the number5.
b. Find the number of subsets of S that contain neither 5 nor6.
c. Find the number of subsets of S that contain both 5 and6.
d. Find the number of subsets of S that contain no oddnumbers.
e. Find the number of subsets of S that contain exactly threeelements.
f. Find the number of subsets of S that contain exactly threeelements, one of which is 3.
g. Find the number of subsets of S that contain exactly fiveelements, all of them even.
h. Find the number of subsets of S with exactly five elements,including 3 or 4 but not both.
