If in a class of 100 students, 60 like mathematics, 72 like physics, 68 like chemistry and no student likes all three subjects, then the number of students who don't like mathematics and chemistry is
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Solution
Let M be the set of people who like Mathematics; P is the set of people who like Physics; C is the set of people who like chemistry ∵ No student like all three subjects, the situation can be represented as:
100=60+72+68−(x+y+z)+0⇒x+y+z=100
So no student like only maths, or only physics or only chemistry