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