The probabilities that a student passes in
\( \mathrm{P} \) mathematics. Physics and Chemistry are \( m, p \) and \( c \)
W respectively. Of these subjects the student has \( 75 \% \) chance of passing in at least one subject, \( 50 \% \) chance of passing in at least two and \( 40 \% \) chance of passing in exactly two. Which is true?
(1) \( p+m+c=\frac{27}{20}, p m c=\frac{1}{10} \)
(2) \( p+m+c=\frac{19}{20}, p m c=\frac{3}{10} \)
(3) \( p+m+c=\frac{17}{20}, p m c=\frac{7}{10} \)
(4) \( p+m+c=\frac{13}{20}, p m c=\frac{1}{4} \)
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