Set Theoryhard
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In a survey of students, preferences for three academic subjects—Mathematics (M), Physics (P), and Chemistry (C)—were recorded. It was found that students like Math, like Physics, and like Chemistry. The number of students who like both Math and Physics is , and students like both Physics and Chemistry. No student likes all three subjects. If a total of students like at least one of the three subjects, how many students like both Math and Chemistry?
In a survey of students, preferences for three academic subjects—Mathematics (M), Physics (P), and Chemistry (C)—were recorded. It was found that students like Math, like Physics, and like Chemistry. The number of students who like both Math and Physics is , and students like both Physics and Chemistry. No student likes all three subjects. If a total of students like at least one of the three subjects, how many students like both Math and Chemistry?