Out of 136 grade 12 students in a school, 60 take Geography, 100 take Chemistry and 48 take Physics. If 28 take Geography and Chemistry, 44 take Chemistry and Physics and 20 take Geography and physics, how many students take all three subjects?
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Answer:In a survey of 25 students, it was found that 12 have taken physics, 11 have taken chemistry and 15 have taken mathematics; 4 have taken physics and chemistry; 9 have taken physics and mathematics; 5 have taken chemistry and mathematics while 3 have taken all the three subjects Find the number of students who have taken (i) physics only (ii) chemistry only; (iui) mathematics only (iv) physics and chemistry but not mathematics; (v) physics and mathematics but not chemistry; (vi) only one of the subjects; (vii) at least one of the three subjects; (vii) none of the three subjects.
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