A small College, 260 mathematics majors are surveyed about 3 courses: finite math (F), calculus (C), and algebra (A). It is found that 52 students take all 3 courses and that: 100 take A, 57 take A and C 200 take C, 125 take C and F 165 take F, 82 take A and F (a) How many students take none of the 3 courses? (b) How many students take calculus alone?

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