A class has 200 students. 75 offered MTH 101, 86 offered PHY 101, and 100 offered CS 101. If 28 took MTH 101 and PHY 101, 22 took MTH 101 and CS 101, and 30 took PHY 101 and CS 101, how many students

Let $N$ be the total number of students.
Let $M$ be the set of students who offered MTH 101.
Let $P$ be the set of students who offered PHY 101.
Let $C$ be the set of students who offered CS 101.

Given information:
$N = 200$
$|M| = 75$
$|P| = 86$
$|C| = 100$
$|M \cap P| = 28$
$|M \cap C| = 22$
$|P \cap C