A discrete mathematics problem by Shashank Rammoorthy

Discrete Mathematics Level pending

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? The probability can be expressed as m/n. Find m + n.

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