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Suppose in a Discrete Structures work room there are 20 students in total. Majors: 10 students are computer science majors, 5 students are applied mathematics majors, and 8 students are philosophy majors. Class standing: 12 students are sophomores, 2 students are freshmen, and 6 students are juniors. You can assume that everyone in the work room is included in these quantifications, and students can have multiple majors. Let C(x) denote "x is a computer science major", let A(x) denote "x is an applied math major" and let P(x) denote "x is a philosophy major". The domain for x is all of the students in the work room. Also, let F(x) denote "x is a freshman", S(x) denote "x is a sophomore" and J(x) denote "x is a junior". Determine the truth value of these quantifications. Select only one response for each part. A. ∀x (C(x)∨J(x)) Answer 1B. ∀x (A(x)∨P(x)∨C(x)) Answer 2C. ∃x (¬A(x)∧J(x))) Answer 3

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