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? (a) $\frac{47}{72}$ (b) $\frac{37}{56}$ (c) $\frac{2}{3}$ (d) $\frac{49}{72}$ (e) $\frac{39}{56}$