Bernardo randomly picks 3 distinct numbers from the set \{1,2,3,4,5,6,7,8,9\} and arranges them in descending order to form a 3 -digit number. Silvia randomly picks 3 distinct numbers from the set \{1,2,3,4,5,6,7,8\} and also arranges them in descending order to form a 3 -digit number. What is the probability that Bernardo’s number is larger than Silvia’s number?
Answer Choices
A. \dfrac{47}{72}
B. \dfrac{37}{56}
C. \dfrac{2}{3}
D. \dfrac{49}{72}
E. \dfrac{39}{56}