Number Comparison Combinatorics

Discrete Mathematics Level pending

Mary randomly selected 3 digits from 1 to 9 and then arranged these as a 3-digit number with the bigger digit in the higher place value. Nestor also randomly selected 3 digits from 1 to 8 and followed the procedure as given above to form another 3-digit number. If the probability that the 3-digit number which Mary selected is greater than the 3-digit number of Nestor selected can be expressed in the form \(\frac{A}{B}\) where \(A\) and \(B\) are co-prime integers, find \(A+B\).

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