The probabilities that a student passes in Mathematics,Physics,and Chemistry are $m, p$,and $c$ respectively. The student has a $75\%$ chance of passing in at least one,a $50\%$ chance of passing in at least two,and a $40\%$ chance of passing in exactly two. Which of the following relations are true?

  • A
    $p + m + c = \frac{19}{20}$
  • B
    $p + m + c = \frac{27}{20}$
  • C
    $pmc = \frac{1}{10}$
  • D
    $pmc = \frac{1}{4}$

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