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The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c, respectively. In these subjects, the student has a

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c, respectively. In these subjects, the student has a 75% chance of passing in atleast one, a 50% chance of passing in atleast two and a 40% chance of passing in exactly two. Which of the following relations are true? (a) p + m + c = 19/20 (c) pmc = 1/10 (b) p + m + c = 27/20 (d) pmc = 1/4

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