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In a class of 30 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to

In a class of 30 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to raise his or her hand. Seven hands go up. Then the professor asked everyone with a pierced ear to do likewise. This time there are 26 hands raised. How many students have piercings both on their ears and their noses?

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