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in a technical college 115 sat for federal chart certificate examination 69 passed physics, 70...

in a technical college 115 sat for federal chart certificate examination 69 passed physics, 70 passed technical drawing, 80 passed mathematics. of this 44 passed physics and mathematics and 45 passed technical drawing and mathematics. given that 14 of them passed all the three subjects and five fail the three subjects. calculate the number of students who passed only physics a number of students who passed only one of the three subjects also number of students who passed only two of the three subjects?
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