In a certain class, 23 are members of the Math Club and 22 are members of the Science Club.
There are as many students who are members of both clubs as there are students who are not members of any of the two clubs.
a. Find how many students there are in the class.
b. If 17 students in the class are members of the Science Club only, determine how many students in the class are members of both the Math Club and the Science Club.