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Department majors take Calculus, Discrete Mathematics, and Programming. If 25 take Calculus, 30 take Discrete Math, and 20 take Programming, 13 take Calculus and Discrete,

Department majors take Calculus, Discrete Mathematics, and Programming. If 25 take Calculus, 30 take Discrete Math, and 20 take Programming, 13 take Calculus and Discrete, 11 take Calculus and Programming, 12 take Discrete and Programming, and 7 take all 3 of these, how many department majors are there?

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