Set Theoryhard
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In a survey of 150 students, preferences for three academic subjects—Mathematics (M), Physics (P), and Chemistry (C)—were recorded. It was found that n(M)=70n(M) = 70, n(P)=60n(P) = 60, and n(C)=50n(C) = 50. The number of students who like at least one subject is 120120. The number of students who like exactly one subject is 7575. How many students like exactly two subjects?