1. The undergraduate enrollment at Columbia can be broken down in a number of ways, including...

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1. The undergraduate enrollment at Columbia can be broken down in a number of ways, including by major and by class. The two largest groups in each of those cases are Freshman (which constitute 36% of all Columbia undergraduates) and majors in the Cinema and Television Arts (CTVA) department (22% of all Columbia undergraduates). At the intersection of those groups, 7% of all Columbia students are freshman with majors in CTVA. What percentage of all Columbia undergraduates are in the union of those groups, that is, the set of students who have majors in CTVA or are freshmen (or both)? Hint: you can treat these percentages like plain numbers and use a Venn diagram to help you. 1. The undergraduate enrollment at Columbia can be broken down in a number of ways, including by major and by class. The two largest groups in each of those cases are Freshman (which constitute 36% of all Columbia undergraduates) and majors in the Cinema and Television Arts (CTVA) department (22% of all Columbia undergraduates). At the intersection of those groups, 7% of all Columbia students are freshman with majors in CTVA. What percentage of all Columbia undergraduates are in the union of those groups, that is, the set of students who have majors in CTVA or are freshmen (or both)? Hint: you can treat these percentages like plain numbers and use a Venn diagram to help you.

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